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Simplifying 22x2 + 127x + 33 = 0 Reorder the terms: 33 + 127x + 22x2 = 0 Solving 33 + 127x + 22x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 2x)(3 + 11x) = 0Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(3 + 11x)' equal to zero and attempt to solve: Simplifying 3 + 11x = 0 Solving 3 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 11x = 0 + -3 11x = 0 + -3 Combine like terms: 0 + -3 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727Solution
x = {-5.5, -0.2727272727}
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