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Simplifying x2 + 9x + -11 = 17x + 9 Reorder the terms: -11 + 9x + x2 = 17x + 9 Reorder the terms: -11 + 9x + x2 = 9 + 17x Solving -11 + 9x + x2 = 9 + 17x Solving for variable 'x'. Reorder the terms: -11 + -9 + 9x + -17x + x2 = 9 + 17x + -9 + -17x Combine like terms: -11 + -9 = -20 -20 + 9x + -17x + x2 = 9 + 17x + -9 + -17x Combine like terms: 9x + -17x = -8x -20 + -8x + x2 = 9 + 17x + -9 + -17x Reorder the terms: -20 + -8x + x2 = 9 + -9 + 17x + -17x Combine like terms: 9 + -9 = 0 -20 + -8x + x2 = 0 + 17x + -17x -20 + -8x + x2 = 17x + -17x Combine like terms: 17x + -17x = 0 -20 + -8x + x2 = 0 Factor a trinomial. (-2 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-2, 10}
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