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Simplifying (25 + -2x)(15 + -2x) = 375 Multiply (25 + -2x) * (15 + -2x) (25(15 + -2x) + -2x * (15 + -2x)) = 375 ((15 * 25 + -2x * 25) + -2x * (15 + -2x)) = 375 ((375 + -50x) + -2x * (15 + -2x)) = 375 (375 + -50x + (15 * -2x + -2x * -2x)) = 375 (375 + -50x + (-30x + 4x2)) = 375 Combine like terms: -50x + -30x = -80x (375 + -80x + 4x2) = 375 Add '-375' to each side of the equation. 375 + -80x + -375 + 4x2 = 375 + -375 Reorder the terms: 375 + -375 + -80x + 4x2 = 375 + -375 Combine like terms: 375 + -375 = 0 0 + -80x + 4x2 = 375 + -375 -80x + 4x2 = 375 + -375 Combine like terms: 375 + -375 = 0 -80x + 4x2 = 0 Solving -80x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(-20 + 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 '(-20 + x)' equal to zero and attempt to solve: Simplifying -20 + x = 0 Solving -20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + x = 0 + 20 x = 0 + 20 Combine like terms: 0 + 20 = 20 x = 20 Simplifying x = 20Solution
x = {0, 20}
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