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Simplifying (60 + -2x)(60 + -2x) * x = 0 Reorder the terms for easier multiplication: x(60 + -2x)(60 + -2x) = 0 Multiply (60 + -2x) * (60 + -2x) x(60(60 + -2x) + -2x * (60 + -2x)) = 0 x((60 * 60 + -2x * 60) + -2x * (60 + -2x)) = 0 x((3600 + -120x) + -2x * (60 + -2x)) = 0 x(3600 + -120x + (60 * -2x + -2x * -2x)) = 0 x(3600 + -120x + (-120x + 4x2)) = 0 Combine like terms: -120x + -120x = -240x x(3600 + -240x + 4x2) = 0 (3600 * x + -240x * x + 4x2 * x) = 0 (3600x + -240x2 + 4x3) = 0 Solving 3600x + -240x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(900 + -60x + x2) = 0 Factor a trinomial. 4x((30 + -1x)(30 + -1x)) = 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 '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 3
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {0, 30, 30}
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