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Simplifying 55x2 + 6x + -1 = 0 Reorder the terms: -1 + 6x + 55x2 = 0 Solving -1 + 6x + 55x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(1 + -11x) = 0Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(1 + -11x)' equal to zero and attempt to solve: Simplifying 1 + -11x = 0 Solving 1 + -11x = 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 + -11x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11x = 0 + -1 -11x = 0 + -1 Combine like terms: 0 + -1 = -1 -11x = -1 Divide each side by '-11'. x = 0.09090909091 Simplifying x = 0.09090909091Solution
x = {-0.2, 0.09090909091}
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