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Simplifying 2(-4x2 + 4x) + -1(5x + -5x2) = 0 Reorder the terms: 2(4x + -4x2) + -1(5x + -5x2) = 0 (4x * 2 + -4x2 * 2) + -1(5x + -5x2) = 0 (8x + -8x2) + -1(5x + -5x2) = 0 8x + -8x2 + (5x * -1 + -5x2 * -1) = 0 8x + -8x2 + (-5x + 5x2) = 0 Reorder the terms: 8x + -5x + -8x2 + 5x2 = 0 Combine like terms: 8x + -5x = 3x 3x + -8x2 + 5x2 = 0 Combine like terms: -8x2 + 5x2 = -3x2 3x + -3x2 = 0 Solving 3x + -3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(1 + -1x) = 0 Ignore the factor 3.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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