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Simplifying 27y2 + -37y + 10 = 0 Reorder the terms: 10 + -37y + 27y2 = 0 Solving 10 + -37y + 27y2 = 0 Solving for variable 'y'. Factor a trinomial. (10 + -27y)(1 + -1y) = 0Subproblem 1
Set the factor '(10 + -27y)' equal to zero and attempt to solve: Simplifying 10 + -27y = 0 Solving 10 + -27y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -27y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -27y = 0 + -10 -27y = 0 + -10 Combine like terms: 0 + -10 = -10 -27y = -10 Divide each side by '-27'. y = 0.3703703704 Simplifying y = 0.3703703704Subproblem 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 = {0.3703703704, 1}
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