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Simplifying x2 = 65x Solving x2 = 65x Solving for variable 'x'. Reorder the terms: -65x + x2 = 65x + -65x Combine like terms: 65x + -65x = 0 -65x + x2 = 0 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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