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Simplifying 6x = 4x(x + -1) Reorder the terms: 6x = 4x(-1 + x) 6x = (-1 * 4x + x * 4x) 6x = (-4x + 4x2) Solving 6x = -4x + 4x2 Solving for variable 'x'. Combine like terms: 6x + 4x = 10x 10x + -4x2 = -4x + 4x2 + 4x + -4x2 Reorder the terms: 10x + -4x2 = -4x + 4x + 4x2 + -4x2 Combine like terms: -4x + 4x = 0 10x + -4x2 = 0 + 4x2 + -4x2 10x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 10x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -2x) = 0 Ignore the factor 2.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 '(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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