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Simplifying 44x2 + -3x + -2 = 0 Reorder the terms: -2 + -3x + 44x2 = 0 Solving -2 + -3x + 44x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -11x)(1 + -4x) = 0Subproblem 1
Set the factor '(-2 + -11x)' equal to zero and attempt to solve: Simplifying -2 + -11x = 0 Solving -2 + -11x = 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 + -11x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -11x = 0 + 2 -11x = 0 + 2 Combine like terms: 0 + 2 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.1818181818, 0.25}
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