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Simplifying 81y2 + 90y + 25 = 0 Reorder the terms: 25 + 90y + 81y2 = 0 Solving 25 + 90y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + 9y)(5 + 9y) = 0Subproblem 1
Set the factor '(5 + 9y)' equal to zero and attempt to solve: Simplifying 5 + 9y = 0 Solving 5 + 9y = 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 + 9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9y = 0 + -5 9y = 0 + -5 Combine like terms: 0 + -5 = -5 9y = -5 Divide each side by '9'. y = -0.5555555556 Simplifying y = -0.5555555556Subproblem 2
Set the factor '(5 + 9y)' equal to zero and attempt to solve: Simplifying 5 + 9y = 0 Solving 5 + 9y = 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 + 9y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9y = 0 + -5 9y = 0 + -5 Combine like terms: 0 + -5 = -5 9y = -5 Divide each side by '9'. y = -0.5555555556 Simplifying y = -0.5555555556Solution
y = {-0.5555555556, -0.5555555556}
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