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Simplifying 6x2 + -11x + -46 = 0 Reorder the terms: -46 + -11x + 6x2 = 0 Solving -46 + -11x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(23 + -6x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(23 + -6x)' equal to zero and attempt to solve: Simplifying 23 + -6x = 0 Solving 23 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = 0 + -23 -6x = 0 + -23 Combine like terms: 0 + -23 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333Solution
x = {-2, 3.833333333}
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