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Simplifying 4x2 + -32x + 64 = 64 Reorder the terms: 64 + -32x + 4x2 = 64 Add '-64' to each side of the equation. 64 + -32x + -64 + 4x2 = 64 + -64 Reorder the terms: 64 + -64 + -32x + 4x2 = 64 + -64 Combine like terms: 64 + -64 = 0 0 + -32x + 4x2 = 64 + -64 -32x + 4x2 = 64 + -64 Combine like terms: 64 + -64 = 0 -32x + 4x2 = 0 Solving -32x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-8 + 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 '(-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 = 8Solution
x = {0, 8}
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