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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. (29 + -6x)(3 + x) = 0Subproblem 1
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 = 4.833333333Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {4.833333333, -3}
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