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Simplifying 9 + -2x + -2x2 = 8x + -3x2 + -12 Reorder the terms: 9 + -2x + -2x2 = -12 + 8x + -3x2 Solving 9 + -2x + -2x2 = -12 + 8x + -3x2 Solving for variable 'x'. Reorder the terms: 9 + 12 + -2x + -8x + -2x2 + 3x2 = -12 + 8x + -3x2 + 12 + -8x + 3x2 Combine like terms: 9 + 12 = 21 21 + -2x + -8x + -2x2 + 3x2 = -12 + 8x + -3x2 + 12 + -8x + 3x2 Combine like terms: -2x + -8x = -10x 21 + -10x + -2x2 + 3x2 = -12 + 8x + -3x2 + 12 + -8x + 3x2 Combine like terms: -2x2 + 3x2 = 1x2 21 + -10x + 1x2 = -12 + 8x + -3x2 + 12 + -8x + 3x2 Reorder the terms: 21 + -10x + 1x2 = -12 + 12 + 8x + -8x + -3x2 + 3x2 Combine like terms: -12 + 12 = 0 21 + -10x + 1x2 = 0 + 8x + -8x + -3x2 + 3x2 21 + -10x + 1x2 = 8x + -8x + -3x2 + 3x2 Combine like terms: 8x + -8x = 0 21 + -10x + 1x2 = 0 + -3x2 + 3x2 21 + -10x + 1x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 21 + -10x + 1x2 = 0 Factor a trinomial. (3 + -1x)(7 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {3, 7}
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