(x+6)(2x-4)=936

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Solution for (x+6)(2x-4)=936 equation: 


Simplifying
(x + 6)(2x + -4) = 936

Reorder the terms:
(6 + x)(2x + -4) = 936

Reorder the terms:
(6 + x)(-4 + 2x) = 936

Multiply (6 + x) * (-4 + 2x)
(6(-4 + 2x) + x(-4 + 2x)) = 936
((-4 * 6 + 2x * 6) + x(-4 + 2x)) = 936
((-24 + 12x) + x(-4 + 2x)) = 936
(-24 + 12x + (-4 * x + 2x * x)) = 936
(-24 + 12x + (-4x + 2x2)) = 936

Combine like terms: 12x + -4x = 8x
(-24 + 8x + 2x2) = 936

Solving
-24 + 8x + 2x2 = 936

Solving for variable 'x'.

Reorder the terms:
-24 + -936 + 8x + 2x2 = 936 + -936

Combine like terms: -24 + -936 = -960
-960 + 8x + 2x2 = 936 + -936

Combine like terms: 936 + -936 = 0
-960 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-480 + 4x + x2) = 0

Factor a trinomial.
2((-24 + -1x)(20 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24

Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-24, 20}

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