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Simplifying 22x2 + -40x = 8 Reorder the terms: -40x + 22x2 = 8 Solving -40x + 22x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + -40x + 22x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -40x + 22x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + -20x + 11x2) = 0 Factor a trinomial. 2((-2 + -11x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(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 = 2Solution
x = {-0.1818181818, 2}
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