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Simplifying 6x2 + 5x + -34 = 0 Reorder the terms: -34 + 5x + 6x2 = 0 Solving -34 + 5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -6x)(2 + -1x) = 0Subproblem 1
Set the factor '(-17 + -6x)' equal to zero and attempt to solve: Simplifying -17 + -6x = 0 Solving -17 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 0 + 17 -6x = 0 + 17 Combine like terms: 0 + 17 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-2.833333333, 2}
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