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Simplifying 10x2 + -13x + -17 = -8 Reorder the terms: -17 + -13x + 10x2 = -8 Solving -17 + -13x + 10x2 = -8 Solving for variable 'x'. Reorder the terms: -17 + 8 + -13x + 10x2 = -8 + 8 Combine like terms: -17 + 8 = -9 -9 + -13x + 10x2 = -8 + 8 Combine like terms: -8 + 8 = 0 -9 + -13x + 10x2 = 0 Factor a trinomial. (-1 + -2x)(9 + -5x) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-0.5, 1.8}
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