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Simplifying 20y2 + 34y + -22 = 0 Reorder the terms: -22 + 34y + 20y2 = 0 Solving -22 + 34y + 20y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-11 + 17y + 10y2) = 0 Factor a trinomial. 2((-11 + -5y)(1 + -2y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -5y)' equal to zero and attempt to solve: Simplifying -11 + -5y = 0 Solving -11 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5y = 0 + 11 -5y = 0 + 11 Combine like terms: 0 + 11 = 11 -5y = 11 Divide each side by '-5'. y = -2.2 Simplifying y = -2.2Subproblem 2
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Solution
y = {-2.2, 0.5}
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