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Simplifying 18y2 + -26y + 8 = 0 Reorder the terms: 8 + -26y + 18y2 = 0 Solving 8 + -26y + 18y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -13y + 9y2) = 0 Factor a trinomial. 2((4 + -9y)(1 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -9y)' equal to zero and attempt to solve: Simplifying 4 + -9y = 0 Solving 4 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9y = 0 + -4 -9y = 0 + -4 Combine like terms: 0 + -4 = -4 -9y = -4 Divide each side by '-9'. y = 0.4444444444 Simplifying y = 0.4444444444Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 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 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1Solution
y = {0.4444444444, 1}
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