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Simplifying x2 + -3x + -22 = -9x + 5 Reorder the terms: -22 + -3x + x2 = -9x + 5 Reorder the terms: -22 + -3x + x2 = 5 + -9x Solving -22 + -3x + x2 = 5 + -9x Solving for variable 'x'. Reorder the terms: -22 + -5 + -3x + 9x + x2 = 5 + -9x + -5 + 9x Combine like terms: -22 + -5 = -27 -27 + -3x + 9x + x2 = 5 + -9x + -5 + 9x Combine like terms: -3x + 9x = 6x -27 + 6x + x2 = 5 + -9x + -5 + 9x Reorder the terms: -27 + 6x + x2 = 5 + -5 + -9x + 9x Combine like terms: 5 + -5 = 0 -27 + 6x + x2 = 0 + -9x + 9x -27 + 6x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 6x + x2 = 0 Factor a trinomial. (-9 + -1x)(3 + -1x) = 0Subproblem 1
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 = -9Subproblem 2
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 = 3Solution
x = {-9, 3}
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