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SOVA2 [1]
4 years ago
15

Solve for x. 5(x + 3)= 4(x -3)

Mathematics
2 answers:
Sergeeva-Olga [200]4 years ago
6 0

Answer:

x = -27

Step-by-step explanation:

Simplifying

5(x + 3) = 4(x + -3)

Reorder the terms:

5(3 + x) = 4(x + -3)

(3 * 5 + x * 5) = 4(x + -3)

(15 + 5x) = 4(x + -3)

Reorder the terms:

15 + 5x = 4(-3 + x)

15 + 5x = (-3 * 4 + x * 4)

15 + 5x = (-12 + 4x)

Solving

15 + 5x = -12 + 4x

Solving for variable 'x'.

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

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

15 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x

15 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0

15 + 1x = -12 + 0

15 + 1x = -12

Add '-15' to each side of the equation.

15 + -15 + 1x = -12 + -15

Combine like terms: 15 + -15 = 0

0 + 1x = -12 + -15

1x = -12 + -15

Combine like terms: -12 + -15 = -27

1x = -27

Divide each side by '1'.

MrMuchimi4 years ago
6 0

Answer:

x = -27

Step-by-step explanation:

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Answer:

q = -5\sqrt{5}

q = 5\sqrt{5}

Step-by-step explanation:

Since there is no constant value. This must be a special case.

So,

(q+5\sqrt{5})(q-5\sqrt{5})

q = -5\sqrt{5}

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8 0
3 years ago
Read 2 more answers
What is 6 to the negative 1 times (-2) to the third power times (-4) to the negative 2
nasty-shy [4]
The answer is:  \frac{1}{12}  .
____________________________________________
Explanation:
____________________________________________
We have:   " 6⁻¹  *  (-2)³  * (-4)⁻² = ? " ;
_______________________________________
Note:  "6⁻¹ = \frac{1}{6^1} = \frac{1}{6} "  .
 
Note the following property of exponents:
____________________________________
           a⁻ˣ = \frac{1}{x^a} ;  {x ≠ 0}.
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Note:  (-2)³  = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________
Note:  (-4)⁻²  = \frac{1}{(-4)^2}  ;
 
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So; we have:
_____________________________________
6⁻¹  *  (-2)³  * (-4)⁻²  ;

=  \frac{(1*8*1)}{(6*16)} ;

→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since:  "{8÷8=1"} ;

→and we have:

\frac{(1*1*1)}{(6*2)} ;

 =  \frac{1}{12} .
_____________________________________
 → The answer is:  \frac{1}{12}  .
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