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

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Solution for (x+8)(2x-12)=0 equation: 


Simplifying
(x + 8)(2x + -12) = 0

Reorder the terms:
(8 + x)(2x + -12) = 0

Reorder the terms:
(8 + x)(-12 + 2x) = 0

Multiply (8 + x) * (-12 + 2x)
(8(-12 + 2x) + x(-12 + 2x)) = 0
((-12 * 8 + 2x * 8) + x(-12 + 2x)) = 0
((-96 + 16x) + x(-12 + 2x)) = 0
(-96 + 16x + (-12 * x + 2x * x)) = 0
(-96 + 16x + (-12x + 2x2)) = 0

Combine like terms: 16x + -12x = 4x
(-96 + 4x + 2x2) = 0

Solving
-96 + 4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 2x + x2) = 0

Factor a trinomial.
2((-8 + -1x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}

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