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marshall27 [118]
3 years ago
13

What are the solutions of the equation 4x2 + 3x = 24 – x?

Mathematics
2 answers:
goldenfox [79]3 years ago
6 0

Answer:

x=2 or x=-3

Step-by-step

hope this helps

DENIUS [597]3 years ago
3 0

Answer:

x = -3 or x = 2

Step-by-step explanation:

Re-arrange the terms into the standard quadratic equation form:

4x2 + 3x = 24 – x => 4x^2 + 4x - 24 = 0

Note that we can divide all four terms by 4, obtaining:

x^2 + x - 6 = 0 = (x + 3)(x - 2)

Then x = -3 or x = 2 are the desired solutions.

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Answer:

8x+19=9x+9

Step-by-step explanation:

Simplifying

(8x + 19) = (9x + 9)

Reorder the terms:

(19 + 8x) = (9x + 9)

Remove parenthesis around (19 + 8x)

19 + 8x = (9x + 9)

Reorder the terms:

19 + 8x = (9 + 9x)

Remove parenthesis around (9 + 9x)

19 + 8x = 9 + 9x

Solving

19 + 8x = 9 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.

19 + 8x + -9x = 9 + 9x + -9x

Combine like terms: 8x + -9x = -1x

19 + -1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0

19 + -1x = 9 + 0

19 + -1x = 9

Add '-19' to each side of the equation.

19 + -19 + -1x = 9 + -19

Combine like terms: 19 + -19 = 0

0 + -1x = 9 + -19

-1x = 9 + -19

Combine like terms: 9 + -19 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

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