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Simplifying 9y2 + 12y + 12 = 8 Reorder the terms: 12 + 12y + 9y2 = 8 Solving 12 + 12y + 9y2 = 8 Solving for variable 'y'. Reorder the terms: 12 + -8 + 12y + 9y2 = 8 + -8 Combine like terms: 12 + -8 = 4 4 + 12y + 9y2 = 8 + -8 Combine like terms: 8 + -8 = 0 4 + 12y + 9y2 = 0 Factor a trinomial. (2 + 3y)(2 + 3y) = 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 '(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 = {-0.6666666667, -0.6666666667}
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