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