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Simplifying x(5x + 64) = 0 Reorder the terms: x(64 + 5x) = 0 (64 * x + 5x * x) = 0 (64x + 5x2) = 0 Solving 64x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(64 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying 64 + 5x = 0 Solving 64 + 5x = 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 + 5x = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 5x = 0 + -64 5x = 0 + -64 Combine like terms: 0 + -64 = -64 5x = -64 Divide each side by '5'. x = -12.8 Simplifying x = -12.8Solution
x = {0, -12.8}
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