(120-8x)*(12+8x)=0

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Solution for (120-8x)*(12+8x)=0 equation: 


Simplifying
(120 + -8x)(12 + 8x) = 0

Multiply (120 + -8x) * (12 + 8x)
(120(12 + 8x) + -8x * (12 + 8x)) = 0
((12 * 120 + 8x * 120) + -8x * (12 + 8x)) = 0
((1440 + 960x) + -8x * (12 + 8x)) = 0
(1440 + 960x + (12 * -8x + 8x * -8x)) = 0
(1440 + 960x + (-96x + -64x2)) = 0

Combine like terms: 960x + -96x = 864x
(1440 + 864x + -64x2) = 0

Solving
1440 + 864x + -64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '32'.
32(45 + 27x + -2x2) = 0

Factor a trinomial.
32((15 + -1x)(3 + 2x)) = 0

Ignore the factor 32.

Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

Subproblem 2
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
Solution
x = {15, -1.5}

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