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Simplifying 11x2 + -1x + -46 = 0 Reorder the terms: -46 + -1x + 11x2 = 0 Solving -46 + -1x + 11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(23 + -11x) = 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 + -11x)' equal to zero and attempt to solve: Simplifying 23 + -11x = 0 Solving 23 + -11x = 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 + -11x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -11x = 0 + -23 -11x = 0 + -23 Combine like terms: 0 + -23 = -23 -11x = -23 Divide each side by '-11'. x = 2.090909091 Simplifying x = 2.090909091Solution
x = {-2, 2.090909091}
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