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Simplifying x(5x + 4) + -1x(2x + -2) = 0 Reorder the terms: x(4 + 5x) + -1x(2x + -2) = 0 (4 * x + 5x * x) + -1x(2x + -2) = 0 (4x + 5x2) + -1x(2x + -2) = 0 Reorder the terms: 4x + 5x2 + -1x(-2 + 2x) = 0 4x + 5x2 + (-2 * -1x + 2x * -1x) = 0 4x + 5x2 + (2x + -2x2) = 0 Reorder the terms: 4x + 2x + 5x2 + -2x2 = 0 Combine like terms: 4x + 2x = 6x 6x + 5x2 + -2x2 = 0 Combine like terms: 5x2 + -2x2 = 3x2 6x + 3x2 = 0 Solving 6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + x) = 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {0, -2}
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