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Simplifying 81y2 + 72y + 16 = 0 Reorder the terms: 16 + 72y + 81y2 = 0 Solving 16 + 72y + 81y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + 9y)(4 + 9y) = 0Subproblem 1
Set the factor '(4 + 9y)' equal to zero and attempt to solve: Simplifying 4 + 9y = 0 Solving 4 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = 0 + -4 9y = 0 + -4 Combine like terms: 0 + -4 = -4 9y = -4 Divide each side by '9'. y = -0.4444444444 Simplifying y = -0.4444444444Subproblem 2
Set the factor '(4 + 9y)' equal to zero and attempt to solve: Simplifying 4 + 9y = 0 Solving 4 + 9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9y = 0 + -4 9y = 0 + -4 Combine like terms: 0 + -4 = -4 9y = -4 Divide each side by '9'. y = -0.4444444444 Simplifying y = -0.4444444444Solution
y = {-0.4444444444, -0.4444444444}
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