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Simplifying 3x2 + 17x + -8 = -2 Reorder the terms: -8 + 17x + 3x2 = -2 Solving -8 + 17x + 3x2 = -2 Solving for variable 'x'. Reorder the terms: -8 + 2 + 17x + 3x2 = -2 + 2 Combine like terms: -8 + 2 = -6 -6 + 17x + 3x2 = -2 + 2 Combine like terms: -2 + 2 = 0 -6 + 17x + 3x2 = 0 Factor a trinomial. (-6 + -1x)(1 + -3x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-6, 0.3333333333}
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