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Simplifying 6x2 + 5x + -116 = 0 Reorder the terms: -116 + 5x + 6x2 = 0 Solving -116 + 5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-29 + -6x)(4 + -1x) = 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-4.833333333, 4}
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