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Simplifying 10x2 + -17x + -8 = -11 Reorder the terms: -8 + -17x + 10x2 = -11 Solving -8 + -17x + 10x2 = -11 Solving for variable 'x'. Reorder the terms: -8 + 11 + -17x + 10x2 = -11 + 11 Combine like terms: -8 + 11 = 3 3 + -17x + 10x2 = -11 + 11 Combine like terms: -11 + 11 = 0 3 + -17x + 10x2 = 0 Factor a trinomial. (1 + -5x)(3 + -2x) = 0Subproblem 1
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0.2, 1.5}
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