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Simplifying 6x2 + -11x + -87 = 0 Reorder the terms: -87 + -11x + 6x2 = 0 Solving -87 + -11x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(29 + -6x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(29 + -6x)' equal to zero and attempt to solve: Simplifying 29 + -6x = 0 Solving 29 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -6x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -6x = 0 + -29 -6x = 0 + -29 Combine like terms: 0 + -29 = -29 -6x = -29 Divide each side by '-6'. x = 4.833333333 Simplifying x = 4.833333333Solution
x = {-3, 4.833333333}
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