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Simplifying 3x^{2}+ 12x = 180 Reorder the terms: 12x + 3x^{2}= 180 Solving 12x + 3x^{2}= 180 Solving for variable 'x'. Reorder the terms: -180 + 12x + 3x^{2}= 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 12x + 3x^{2}= 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-60 + 4x + x^{2}) = 0 Factor a trinomial. 3((-10 + -1x)(6 + -1x)) = 0 Ignore the factor 3.## Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10## Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6## Solution

x = {-10, 6}

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