(x-4)(x+8)=64

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Solution for (x-4)(x+8)=64 equation: 


Simplifying
(x + -4)(x + 8) = 64

Reorder the terms:
(-4 + x)(x + 8) = 64

Reorder the terms:
(-4 + x)(8 + x) = 64

Multiply (-4 + x) * (8 + x)
(-4(8 + x) + x(8 + x)) = 64
((8 * -4 + x * -4) + x(8 + x)) = 64
((-32 + -4x) + x(8 + x)) = 64
(-32 + -4x + (8 * x + x * x)) = 64
(-32 + -4x + (8x + x2)) = 64

Combine like terms: -4x + 8x = 4x
(-32 + 4x + x2) = 64

Solving
-32 + 4x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
-32 + -64 + 4x + x2 = 64 + -64

Combine like terms: -32 + -64 = -96
-96 + 4x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-96 + 4x + x2 = 0

Factor a trinomial.
(-12 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
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
Solution
x = {-12, 8}

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