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Simplifying x = x(x + -6) Reorder the terms: x = x(-6 + x) x = (-6 * x + x * x) x = (-6x + x2) Solving x = -6x + x2 Solving for variable 'x'. Combine like terms: x + 6x = 7x 7x + -1x2 = -6x + x2 + 6x + -1x2 Reorder the terms: 7x + -1x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 7x + -1x2 = 0 + x2 + -1x2 7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 7x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, 7}
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