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Simplifying 4x(x + -2) + -5x(x + -1) = 0 Reorder the terms: 4x(-2 + x) + -5x(x + -1) = 0 (-2 * 4x + x * 4x) + -5x(x + -1) = 0 (-8x + 4x2) + -5x(x + -1) = 0 Reorder the terms: -8x + 4x2 + -5x(-1 + x) = 0 -8x + 4x2 + (-1 * -5x + x * -5x) = 0 -8x + 4x2 + (5x + -5x2) = 0 Reorder the terms: -8x + 5x + 4x2 + -5x2 = 0 Combine like terms: -8x + 5x = -3x -3x + 4x2 + -5x2 = 0 Combine like terms: 4x2 + -5x2 = -1x2 -3x + -1x2 = 0 Solving -3x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + x) = 0 Ignore the factor -1.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 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0, -3}
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