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Simplifying -1x2 + -150x + -3600 = 0 Reorder the terms: -3600 + -150x + -1x2 = 0 Solving -3600 + -150x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3600 + 150x + x2) = 0 Factor a trinomial. -1((120 + x)(30 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120Subproblem 2
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 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 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Solution
x = {-120, -30}
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