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Simplifying (9y + 4)(9y + 4) = 0 Reorder the terms: (4 + 9y)(9y + 4) = 0 Reorder the terms: (4 + 9y)(4 + 9y) = 0 Multiply (4 + 9y) * (4 + 9y) (4(4 + 9y) + 9y * (4 + 9y)) = 0 ((4 * 4 + 9y * 4) + 9y * (4 + 9y)) = 0 ((16 + 36y) + 9y * (4 + 9y)) = 0 (16 + 36y + (4 * 9y + 9y * 9y)) = 0 (16 + 36y + (36y + 81y2)) = 0 Combine like terms: 36y + 36y = 72y (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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