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Simplifying 2x2 + -6x = 360 Reorder the terms: -6x + 2x2 = 360 Solving -6x + 2x2 = 360 Solving for variable 'x'. Reorder the terms: -360 + -6x + 2x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + -6x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-180 + -3x + x2) = 0 Factor a trinomial. 2((-12 + -1x)(15 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-12, 15}
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