(4)(x-8)(x-8)=576

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Solution for (4)(x-8)(x-8)=576 equation: 


Simplifying
(4)(x + -8)(x + -8) = 576

Reorder the terms:
4(-8 + x)(x + -8) = 576

Reorder the terms:
4(-8 + x)(-8 + x) = 576

Multiply (-8 + x) * (-8 + x)
4(-8(-8 + x) + x(-8 + x)) = 576
4((-8 * -8 + x * -8) + x(-8 + x)) = 576
4((64 + -8x) + x(-8 + x)) = 576
4(64 + -8x + (-8 * x + x * x)) = 576
4(64 + -8x + (-8x + x2)) = 576

Combine like terms: -8x + -8x = -16x
4(64 + -16x + x2) = 576
(64 * 4 + -16x * 4 + x2 * 4) = 576
(256 + -64x + 4x2) = 576

Solving
256 + -64x + 4x2 = 576

Solving for variable 'x'.

Reorder the terms:
256 + -576 + -64x + 4x2 = 576 + -576

Combine like terms: 256 + -576 = -320
-320 + -64x + 4x2 = 576 + -576

Combine like terms: 576 + -576 = 0
-320 + -64x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-80 + -16x + x2) = 0

Factor a trinomial.
4((-4 + -1x)(20 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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 = {-4, 20}

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