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Simplifying 2x(-2x) = -4x Remove parenthesis around (-2x) 2x * -2x = -4x Reorder the terms for easier multiplication: 2 * -2x * x = -4x Multiply 2 * -2 -4x * x = -4x Multiply x * x -4x2 = -4x Solving -4x2 = -4x Solving for variable 'x'. Reorder the terms: 4x + -4x2 = -4x + 4x Combine like terms: -4x + 4x = 0 4x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + -1x) = 0 Ignore the factor 4.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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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