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Simplifying 0 = 2x2 + -17x + -9 Reorder the terms: 0 = -9 + -17x + 2x2 Solving 0 = -9 + -17x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 9 = 9 9 + 17x + -2x2 = -9 + -17x + 2x2 + 9 + 17x + -2x2 Reorder the terms: 9 + 17x + -2x2 = -9 + 9 + -17x + 17x + 2x2 + -2x2 Combine like terms: -9 + 9 = 0 9 + 17x + -2x2 = 0 + -17x + 17x + 2x2 + -2x2 9 + 17x + -2x2 = -17x + 17x + 2x2 + -2x2 Combine like terms: -17x + 17x = 0 9 + 17x + -2x2 = 0 + 2x2 + -2x2 9 + 17x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 9 + 17x + -2x2 = 0 Factor a trinomial. (9 + -1x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 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 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {9, -0.5}
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