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Simplifying 17x2 + 2x + -15 = 0 Reorder the terms: -15 + 2x + 17x2 = 0 Solving -15 + 2x + 17x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(15 + -17x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(15 + -17x)' equal to zero and attempt to solve: Simplifying 15 + -17x = 0 Solving 15 + -17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -17x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -17x = 0 + -15 -17x = 0 + -15 Combine like terms: 0 + -15 = -15 -17x = -15 Divide each side by '-17'. x = 0.8823529412 Simplifying x = 0.8823529412Solution
x = {-1, 0.8823529412}
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