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Simplifying 9x2 + 12x + -18 = 3 + -8x Reorder the terms: -18 + 12x + 9x2 = 3 + -8x Solving -18 + 12x + 9x2 = 3 + -8x Solving for variable 'x'. Reorder the terms: -18 + -3 + 12x + 8x + 9x2 = 3 + -8x + -3 + 8x Combine like terms: -18 + -3 = -21 -21 + 12x + 8x + 9x2 = 3 + -8x + -3 + 8x Combine like terms: 12x + 8x = 20x -21 + 20x + 9x2 = 3 + -8x + -3 + 8x Reorder the terms: -21 + 20x + 9x2 = 3 + -3 + -8x + 8x Combine like terms: 3 + -3 = 0 -21 + 20x + 9x2 = 0 + -8x + 8x -21 + 20x + 9x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -21 + 20x + 9x2 = 0 Factor a trinomial. (-3 + -1x)(7 + -9x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {-3, 0.7777777778}
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