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Simplifying -8x2 + 18x + 7 = -10 + -9x2 Reorder the terms: 7 + 18x + -8x2 = -10 + -9x2 Solving 7 + 18x + -8x2 = -10 + -9x2 Solving for variable 'x'. Reorder the terms: 7 + 10 + 18x + -8x2 + 9x2 = -10 + -9x2 + 10 + 9x2 Combine like terms: 7 + 10 = 17 17 + 18x + -8x2 + 9x2 = -10 + -9x2 + 10 + 9x2 Combine like terms: -8x2 + 9x2 = 1x2 17 + 18x + 1x2 = -10 + -9x2 + 10 + 9x2 Reorder the terms: 17 + 18x + 1x2 = -10 + 10 + -9x2 + 9x2 Combine like terms: -10 + 10 = 0 17 + 18x + 1x2 = 0 + -9x2 + 9x2 17 + 18x + 1x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 17 + 18x + 1x2 = 0 Factor a trinomial. (17 + x)(1 + x) = 0Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-17, -1}
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