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Simplifying 27y2 + 30y + 8 = 0 Reorder the terms: 8 + 30y + 27y2 = 0 Solving 8 + 30y + 27y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + 3y)(4 + 9y) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
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 = -0.4444444444Solution
y = {-0.6666666667, -0.4444444444}
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