4(x-2)(x-2)-16=0

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Solution for 4(x-2)(x-2)-16=0 equation:


Simplifying
4(x + -2)(x + -2) + -16 = 0

Reorder the terms:
4(-2 + x)(x + -2) + -16 = 0

Reorder the terms:
4(-2 + x)(-2 + x) + -16 = 0

Multiply (-2 + x) * (-2 + x)
4(-2(-2 + x) + x(-2 + x)) + -16 = 0
4((-2 * -2 + x * -2) + x(-2 + x)) + -16 = 0
4((4 + -2x) + x(-2 + x)) + -16 = 0
4(4 + -2x + (-2 * x + x * x)) + -16 = 0
4(4 + -2x + (-2x + x2)) + -16 = 0

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

Reorder the terms:
16 + -16 + -16x + 4x2 = 0

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

Solving
-16x + 4x2 = 0

Solving for variable 'x'.

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

Ignore the factor 4.

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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 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 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4

Solution

x = {0, 4}

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