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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 = 0Subproblem 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 = 4Solution
x = {0, 4}
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