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Simplifying 3x2 + -25x + -30 = -12 Reorder the terms: -30 + -25x + 3x2 = -12 Solving -30 + -25x + 3x2 = -12 Solving for variable 'x'. Reorder the terms: -30 + 12 + -25x + 3x2 = -12 + 12 Combine like terms: -30 + 12 = -18 -18 + -25x + 3x2 = -12 + 12 Combine like terms: -12 + 12 = 0 -18 + -25x + 3x2 = 0 Factor a trinomial. (-2 + -3x)(9 + -1x) = 0Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-0.6666666667, 9}
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