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Simplifying 2x2 + -36x = 720 Reorder the terms: -36x + 2x2 = 720 Solving -36x + 2x2 = 720 Solving for variable 'x'. Reorder the terms: -720 + -36x + 2x2 = 720 + -720 Combine like terms: 720 + -720 = 0 -720 + -36x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-360 + -18x + x2) = 0 Factor a trinomial. 2((-12 + -1x)(30 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 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 = 30Solution
x = {-12, 30}
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