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Simplifying -2x(2x + -5) = 4x Reorder the terms: -2x(-5 + 2x) = 4x (-5 * -2x + 2x * -2x) = 4x (10x + -4x2) = 4x Solving 10x + -4x2 = 4x Solving for variable 'x'. Reorder the terms: 10x + -4x + -4x2 = 4x + -4x Combine like terms: 10x + -4x = 6x 6x + -4x2 = 4x + -4x Combine like terms: 4x + -4x = 0 6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(3 + -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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, 1.5}
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