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Simplifying (2x + -2)(5x + -9x) = 0 Reorder the terms: (-2 + 2x)(5x + -9x) = 0 Combine like terms: 5x + -9x = -4x (-2 + 2x)(-4x) = 0 Remove parenthesis around (-4x) (-2 + 2x) * -4x = 0 Reorder the terms for easier multiplication: -4x(-2 + 2x) = 0 (-2 * -4x + 2x * -4x) = 0 (8x + -8x2) = 0 Solving 8x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x'. 8x(1 + -1x) = 0 Ignore the factor 8.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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