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Simplifying x(x + -3) = 9x(x + -3) Reorder the terms: x(-3 + x) = 9x(x + -3) (-3 * x + x * x) = 9x(x + -3) (-3x + x2) = 9x(x + -3) Reorder the terms: -3x + x2 = 9x(-3 + x) -3x + x2 = (-3 * 9x + x * 9x) -3x + x2 = (-27x + 9x2) Solving -3x + x2 = -27x + 9x2 Solving for variable 'x'. Reorder the terms: -3x + 27x + x2 + -9x2 = -27x + 9x2 + 27x + -9x2 Combine like terms: -3x + 27x = 24x 24x + x2 + -9x2 = -27x + 9x2 + 27x + -9x2 Combine like terms: x2 + -9x2 = -8x2 24x + -8x2 = -27x + 9x2 + 27x + -9x2 Reorder the terms: 24x + -8x2 = -27x + 27x + 9x2 + -9x2 Combine like terms: -27x + 27x = 0 24x + -8x2 = 0 + 9x2 + -9x2 24x + -8x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 24x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(3 + -1x) = 0 Ignore the factor 8.Subproblem 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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 3}
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