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Simplifying 18y2 + 27y + 10 = 0 Reorder the terms: 10 + 27y + 18y2 = 0 Solving 10 + 27y + 18y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 6y)(2 + 3y) = 0Subproblem 1
Set the factor '(5 + 6y)' equal to zero and attempt to solve: Simplifying 5 + 6y = 0 Solving 5 + 6y = 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 + 6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6y = 0 + -5 6y = 0 + -5 Combine like terms: 0 + -5 = -5 6y = -5 Divide each side by '6'. y = -0.8333333333 Simplifying y = -0.8333333333Subproblem 2
Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667Solution
y = {-0.8333333333, -0.6666666667}
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