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Simplifying 220x2 + -41x + -17 = 0 Reorder the terms: -17 + -41x + 220x2 = 0 Solving -17 + -41x + 220x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -5x)(17 + -44x) = 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 '(17 + -44x)' equal to zero and attempt to solve: Simplifying 17 + -44x = 0 Solving 17 + -44x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -44x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -44x = 0 + -17 -44x = 0 + -17 Combine like terms: 0 + -17 = -17 -44x = -17 Divide each side by '-44'. x = 0.3863636364 Simplifying x = 0.3863636364Solution
x = {-0.2, 0.3863636364}
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