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vivado [14]
2 years ago
5

Expand quadratic equation (2x-3)(x+4) = 0​

Mathematics
2 answers:
OleMash [197]2 years ago
6 0

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

Bingel [31]2 years ago
4 0

Answer:

2x^2+5x-12=0

Step-by-step explanation:

<u>Algebra</u>

To expand the given equation

(2x-3)(x+4)=0

we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:

2x^2+8x-3x-12=0

Rearranging and simplifying:

\mathbf{2x^2+5x-12=0}

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Eduardwww [97]

Answer:

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Step-by-step explanation:

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3 years ago
Write greatest unit fractions that are repeating decimals. Then express each fraction as a decimal.
LekaFEV [45]
Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5

Now, Let’s do subtraction:
10x = 5.5555… or 5.5  
<u>-   x =  0.5555… or 0.5</u>
 9x  = 5.0            or 5.0

To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
<span><u>9x</u> = <u>5.0</u>  
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7 0
2 years ago
A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16
ser-zykov [4K]
Hello there.

<span>A number cube has sides numbered 1 through 6. The probability of rolling a 2 is 16
what is the probability of not rolling a 2?

Answer: I'm guessing that by 16 you meant 1/6. Therefore you do 6/6 - 1/6 = 5/6,
Therefore the answer is 5/6.

Hope This Helps You!
Good Luck Studying ^-^</span>
3 0
3 years ago
Read 2 more answers
In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

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