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Simplifying 12x2 + -11x + -30 = 6 Reorder the terms: -30 + -11x + 12x2 = 6 Solving -30 + -11x + 12x2 = 6 Solving for variable 'x'. Reorder the terms: -30 + -6 + -11x + 12x2 = 6 + -6 Combine like terms: -30 + -6 = -36 -36 + -11x + 12x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -36 + -11x + 12x2 = 0 Factor a trinomial. (-4 + -3x)(9 + -4x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {-1.333333333, 2.25}
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