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Simplifying 6x(x + -1) = x(5x + -15) Reorder the terms: 6x(-1 + x) = x(5x + -15) (-1 * 6x + x * 6x) = x(5x + -15) (-6x + 6x2) = x(5x + -15) Reorder the terms: -6x + 6x2 = x(-15 + 5x) -6x + 6x2 = (-15 * x + 5x * x) -6x + 6x2 = (-15x + 5x2) Solving -6x + 6x2 = -15x + 5x2 Solving for variable 'x'. Reorder the terms: -6x + 15x + 6x2 + -5x2 = -15x + 5x2 + 15x + -5x2 Combine like terms: -6x + 15x = 9x 9x + 6x2 + -5x2 = -15x + 5x2 + 15x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 9x + 1x2 = -15x + 5x2 + 15x + -5x2 Reorder the terms: 9x + 1x2 = -15x + 15x + 5x2 + -5x2 Combine like terms: -15x + 15x = 0 9x + 1x2 = 0 + 5x2 + -5x2 9x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 9x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Solution
x = {0, -9}
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