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Simplifying (20 + -2x)(30 + -2x) = 600 Multiply (20 + -2x) * (30 + -2x) (20(30 + -2x) + -2x * (30 + -2x)) = 600 ((30 * 20 + -2x * 20) + -2x * (30 + -2x)) = 600 ((600 + -40x) + -2x * (30 + -2x)) = 600 (600 + -40x + (30 * -2x + -2x * -2x)) = 600 (600 + -40x + (-60x + 4x2)) = 600 Combine like terms: -40x + -60x = -100x (600 + -100x + 4x2) = 600 Add '-600' to each side of the equation. 600 + -100x + -600 + 4x2 = 600 + -600 Reorder the terms: 600 + -600 + -100x + 4x2 = 600 + -600 Combine like terms: 600 + -600 = 0 0 + -100x + 4x2 = 600 + -600 -100x + 4x2 = 600 + -600 Combine like terms: 600 + -600 = 0 -100x + 4x2 = 0 Solving -100x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-25 + x) = 0 Ignore the factor 4.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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