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Simplifying 3x2 + 4x + -12 = 120 Reorder the terms: -12 + 4x + 3x2 = 120 Solving -12 + 4x + 3x2 = 120 Solving for variable 'x'. Reorder the terms: -12 + -120 + 4x + 3x2 = 120 + -120 Combine like terms: -12 + -120 = -132 -132 + 4x + 3x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -132 + 4x + 3x2 = 0 Factor a trinomial. (-22 + -3x)(6 + -1x) = 0Subproblem 1
Set the factor '(-22 + -3x)' equal to zero and attempt to solve: Simplifying -22 + -3x = 0 Solving -22 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -3x = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -3x = 0 + 22 -3x = 0 + 22 Combine like terms: 0 + 22 = 22 -3x = 22 Divide each side by '-3'. x = -7.333333333 Simplifying x = -7.333333333Subproblem 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 = {-7.333333333, 6}
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