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Simplifying x2 + -16x + 64 + x2 + x2 = x2 + 16x + 64 Reorder the terms: 64 + -16x + x2 + x2 + x2 = x2 + 16x + 64 Combine like terms: x2 + x2 = 2x2 64 + -16x + 2x2 + x2 = x2 + 16x + 64 Combine like terms: 2x2 + x2 = 3x2 64 + -16x + 3x2 = x2 + 16x + 64 Reorder the terms: 64 + -16x + 3x2 = 64 + 16x + x2 Add '-64' to each side of the equation. 64 + -16x + -64 + 3x2 = 64 + 16x + -64 + x2 Reorder the terms: 64 + -64 + -16x + 3x2 = 64 + 16x + -64 + x2 Combine like terms: 64 + -64 = 0 0 + -16x + 3x2 = 64 + 16x + -64 + x2 -16x + 3x2 = 64 + 16x + -64 + x2 Reorder the terms: -16x + 3x2 = 64 + -64 + 16x + x2 Combine like terms: 64 + -64 = 0 -16x + 3x2 = 0 + 16x + x2 -16x + 3x2 = 16x + x2 Solving -16x + 3x2 = 16x + x2 Solving for variable 'x'. Reorder the terms: -16x + -16x + 3x2 + -1x2 = 16x + x2 + -16x + -1x2 Combine like terms: -16x + -16x = -32x -32x + 3x2 + -1x2 = 16x + x2 + -16x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 -32x + 2x2 = 16x + x2 + -16x + -1x2 Reorder the terms: -32x + 2x2 = 16x + -16x + x2 + -1x2 Combine like terms: 16x + -16x = 0 -32x + 2x2 = 0 + x2 + -1x2 -32x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-16 + x) = 0 Ignore the factor 2.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 '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Solution
x = {0, 16}
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