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Simplifying 26y2 + -41y + 15 = 0 Reorder the terms: 15 + -41y + 26y2 = 0 Solving 15 + -41y + 26y2 = 0 Solving for variable 'y'. Factor a trinomial. (15 + -26y)(1 + -1y) = 0Subproblem 1
Set the factor '(15 + -26y)' equal to zero and attempt to solve: Simplifying 15 + -26y = 0 Solving 15 + -26y = 0 Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -26y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -26y = 0 + -15 -26y = 0 + -15 Combine like terms: 0 + -15 = -15 -26y = -15 Divide each side by '-26'. y = 0.5769230769 Simplifying y = 0.5769230769Subproblem 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 = {0.5769230769, 1}
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