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Simplifying (8 + -2x)(8 + -2x) = 0 Multiply (8 + -2x) * (8 + -2x) (8(8 + -2x) + -2x * (8 + -2x)) = 0 ((8 * 8 + -2x * 8) + -2x * (8 + -2x)) = 0 ((64 + -16x) + -2x * (8 + -2x)) = 0 (64 + -16x + (8 * -2x + -2x * -2x)) = 0 (64 + -16x + (-16x + 4x2)) = 0 Combine like terms: -16x + -16x = -32x (64 + -32x + 4x2) = 0 Solving 64 + -32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -8x + x2) = 0 Factor a trinomial. 4((4 + -1x)(4 + -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 = 4Subproblem 2
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 = 4Solution
x = {4, 4}
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