(x-4)(x-4)-16=0

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Solution for (x-4)(x-4)-16=0 equation: 


Simplifying
(x + -4)(x + -4) + -16 = 0

Reorder the terms:
(-4 + x)(x + -4) + -16 = 0

Reorder the terms:
(-4 + x)(-4 + x) + -16 = 0

Multiply (-4 + x) * (-4 + x)
(-4(-4 + x) + x(-4 + x)) + -16 = 0
((-4 * -4 + x * -4) + x(-4 + x)) + -16 = 0
((16 + -4x) + x(-4 + x)) + -16 = 0
(16 + -4x + (-4 * x + x * x)) + -16 = 0
(16 + -4x + (-4x + x2)) + -16 = 0

Combine like terms: -4x + -4x = -8x
(16 + -8x + x2) + -16 = 0

Reorder the terms:
16 + -16 + -8x + x2 = 0

Combine like terms: 16 + -16 = 0
0 + -8x + x2 = 0
-8x + x2 = 0

Solving
-8x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

Solving
-8 + x = 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 + x = 0 + 8

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

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

Simplifying
x = 8
Solution
x = {0, 8}

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