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Simplifying 0 = 9y2 + 9y + 2 Reorder the terms: 0 = 2 + 9y + 9y2 Solving 0 = 2 + 9y + 9y2 Solving for variable 'y'. Combine like terms: 0 + -2 = -2 -2 + -9y + -9y2 = 2 + 9y + 9y2 + -2 + -9y + -9y2 Reorder the terms: -2 + -9y + -9y2 = 2 + -2 + 9y + -9y + 9y2 + -9y2 Combine like terms: 2 + -2 = 0 -2 + -9y + -9y2 = 0 + 9y + -9y + 9y2 + -9y2 -2 + -9y + -9y2 = 9y + -9y + 9y2 + -9y2 Combine like terms: 9y + -9y = 0 -2 + -9y + -9y2 = 0 + 9y2 + -9y2 -2 + -9y + -9y2 = 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 -2 + -9y + -9y2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 9y + 9y2) = 0 Factor a trinomial. -1((2 + 3y)(1 + 3y)) = 0 Ignore the factor -1.Subproblem 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 '(1 + 3y)' equal to zero and attempt to solve: Simplifying 1 + 3y = 0 Solving 1 + 3y = 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 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333Solution
y = {-0.6666666667, -0.3333333333}
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