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Simplifying x2 + 65x = 0 Reorder the terms: 65x + x2 = 0 Solving 65x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(65 + 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 '(65 + x)' equal to zero and attempt to solve: Simplifying 65 + x = 0 Solving 65 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + x = 0 + -65 x = 0 + -65 Combine like terms: 0 + -65 = -65 x = -65 Simplifying x = -65Solution
x = {0, -65}
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