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Simplifying 5x2 + -12x = 108 Reorder the terms: -12x + 5x2 = 108 Solving -12x + 5x2 = 108 Solving for variable 'x'. Reorder the terms: -108 + -12x + 5x2 = 108 + -108 Combine like terms: 108 + -108 = 0 -108 + -12x + 5x2 = 0 Factor a trinomial. (-18 + -5x)(6 + -1x) = 0Subproblem 1
Set the factor '(-18 + -5x)' equal to zero and attempt to solve: Simplifying -18 + -5x = 0 Solving -18 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -5x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 0 + 18 -5x = 0 + 18 Combine like terms: 0 + 18 = 18 -5x = 18 Divide each side by '-5'. x = -3.6 Simplifying x = -3.6Subproblem 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 = 6Solution
x = {-3.6, 6}
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