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Simplifying 3x2 + -9x = 2x2 + 22 Reorder the terms: -9x + 3x2 = 2x2 + 22 Reorder the terms: -9x + 3x2 = 22 + 2x2 Solving -9x + 3x2 = 22 + 2x2 Solving for variable 'x'. Reorder the terms: -22 + -9x + 3x2 + -2x2 = 22 + 2x2 + -22 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -22 + -9x + 1x2 = 22 + 2x2 + -22 + -2x2 Reorder the terms: -22 + -9x + 1x2 = 22 + -22 + 2x2 + -2x2 Combine like terms: 22 + -22 = 0 -22 + -9x + 1x2 = 0 + 2x2 + -2x2 -22 + -9x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -22 + -9x + 1x2 = 0 Factor a trinomial. (-2 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-2, 11}
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