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Simplifying x(x + -3) = x(2x + -5) Reorder the terms: x(-3 + x) = x(2x + -5) (-3 * x + x * x) = x(2x + -5) (-3x + x2) = x(2x + -5) Reorder the terms: -3x + x2 = x(-5 + 2x) -3x + x2 = (-5 * x + 2x * x) -3x + x2 = (-5x + 2x2) Solving -3x + x2 = -5x + 2x2 Solving for variable 'x'. Reorder the terms: -3x + 5x + x2 + -2x2 = -5x + 2x2 + 5x + -2x2 Combine like terms: -3x + 5x = 2x 2x + x2 + -2x2 = -5x + 2x2 + 5x + -2x2 Combine like terms: x2 + -2x2 = -1x2 2x + -1x2 = -5x + 2x2 + 5x + -2x2 Reorder the terms: 2x + -1x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 2x + -1x2 = 0 + 2x2 + -2x2 2x + -1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 2x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 2}
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