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Simplifying 3x = 2x(x + -1) Reorder the terms: 3x = 2x(-1 + x) 3x = (-1 * 2x + x * 2x) 3x = (-2x + 2x2) Solving 3x = -2x + 2x2 Solving for variable 'x'. Combine like terms: 3x + 2x = 5x 5x + -2x2 = -2x + 2x2 + 2x + -2x2 Reorder the terms: 5x + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 5x + -2x2 = 0 + 2x2 + -2x2 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(5 + -2x) = 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, 2.5}
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