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Simplifying -11x2 + 5 = 6x Reorder the terms: 5 + -11x2 = 6x Solving 5 + -11x2 = 6x Solving for variable 'x'. Reorder the terms: 5 + -6x + -11x2 = 6x + -6x Combine like terms: 6x + -6x = 0 5 + -6x + -11x2 = 0 Factor a trinomial. (5 + -11x)(1 + x) = 0Subproblem 1
Set the factor '(5 + -11x)' equal to zero and attempt to solve: Simplifying 5 + -11x = 0 Solving 5 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 0 + -5 -11x = 0 + -5 Combine like terms: 0 + -5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0.4545454545, -1}
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