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Simplifying 4x(x + 10) + -2x(x + -5) = 0 Reorder the terms: 4x(10 + x) + -2x(x + -5) = 0 (10 * 4x + x * 4x) + -2x(x + -5) = 0 (40x + 4x2) + -2x(x + -5) = 0 Reorder the terms: 40x + 4x2 + -2x(-5 + x) = 0 40x + 4x2 + (-5 * -2x + x * -2x) = 0 40x + 4x2 + (10x + -2x2) = 0 Reorder the terms: 40x + 10x + 4x2 + -2x2 = 0 Combine like terms: 40x + 10x = 50x 50x + 4x2 + -2x2 = 0 Combine like terms: 4x2 + -2x2 = 2x2 50x + 2x2 = 0 Solving 50x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(25 + x) = 0 Ignore the factor 2.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 '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {0, -25}
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