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Simplifying 81y2 + 18y + 1 = 0 Reorder the terms: 1 + 18y + 81y2 = 0 Solving 1 + 18y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + 9y)(1 + 9y) = 0Subproblem 1
Set the factor '(1 + 9y)' equal to zero and attempt to solve: Simplifying 1 + 9y = 0 Solving 1 + 9y = 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 + 9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 0 + -1 9y = 0 + -1 Combine like terms: 0 + -1 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111Subproblem 2
Set the factor '(1 + 9y)' equal to zero and attempt to solve: Simplifying 1 + 9y = 0 Solving 1 + 9y = 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 + 9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 0 + -1 9y = 0 + -1 Combine like terms: 0 + -1 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111Solution
y = {-0.1111111111, -0.1111111111}
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