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Simplifying 81y2 + 144y + 64 = 0 Reorder the terms: 64 + 144y + 81y2 = 0 Solving 64 + 144y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (8 + 9y)(8 + 9y) = 0Subproblem 1
Set the factor '(8 + 9y)' equal to zero and attempt to solve: Simplifying 8 + 9y = 0 Solving 8 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9y = 0 + -8 9y = 0 + -8 Combine like terms: 0 + -8 = -8 9y = -8 Divide each side by '9'. y = -0.8888888889 Simplifying y = -0.8888888889Subproblem 2
Set the factor '(8 + 9y)' equal to zero and attempt to solve: Simplifying 8 + 9y = 0 Solving 8 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9y = 0 + -8 9y = 0 + -8 Combine like terms: 0 + -8 = -8 9y = -8 Divide each side by '9'. y = -0.8888888889 Simplifying y = -0.8888888889Solution
y = {-0.8888888889, -0.8888888889}
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