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Simplifying x = (x + -9) * x Reorder the terms: x = (-9 + x) * x Reorder the terms for easier multiplication: x = x(-9 + x) x = (-9 * x + x * x) x = (-9x + x2) Solving x = -9x + x2 Solving for variable 'x'. Combine like terms: x + 9x = 10x 10x + -1x2 = -9x + x2 + 9x + -1x2 Reorder the terms: 10x + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 10x + -1x2 = 0 + x2 + -1x2 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(10 + -1x) = 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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, 10}
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