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Simplifying 18y2 + -65y + 50 = 0 Reorder the terms: 50 + -65y + 18y2 = 0 Solving 50 + -65y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (10 + -9y)(5 + -2y) = 0Subproblem 1
Set the factor '(10 + -9y)' equal to zero and attempt to solve: Simplifying 10 + -9y = 0 Solving 10 + -9y = 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 + -9y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9y = 0 + -10 -9y = 0 + -10 Combine like terms: 0 + -10 = -10 -9y = -10 Divide each side by '-9'. y = 1.111111111 Simplifying y = 1.111111111Subproblem 2
Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5Solution
y = {1.111111111, 2.5}
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