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Simplifying 6x2 + -11x + -217 = 0 Reorder the terms: -217 + -11x + 6x2 = 0 Solving -217 + -11x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-31 + -6x)(7 + -1x) = 0Subproblem 1
Set the factor '(-31 + -6x)' equal to zero and attempt to solve: Simplifying -31 + -6x = 0 Solving -31 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -6x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + -6x = 0 + 31 -6x = 0 + 31 Combine like terms: 0 + 31 = 31 -6x = 31 Divide each side by '-6'. x = -5.166666667 Simplifying x = -5.166666667Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-5.166666667, 7}
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