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Simplifying (9 + 9y)(9 + 9y) = 0 Multiply (9 + 9y) * (9 + 9y) (9(9 + 9y) + 9y * (9 + 9y)) = 0 ((9 * 9 + 9y * 9) + 9y * (9 + 9y)) = 0 ((81 + 81y) + 9y * (9 + 9y)) = 0 (81 + 81y + (9 * 9y + 9y * 9y)) = 0 (81 + 81y + (81y + 81y2)) = 0 Combine like terms: 81y + 81y = 162y (81 + 162y + 81y2) = 0 Solving 81 + 162y + 81y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '81'. 81(1 + 2y + y2) = 0 Factor a trinomial. 81((1 + y)(1 + y)) = 0 Ignore the factor 81.Subproblem 1
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Simplifying y = -1Solution
y = {-1, -1}
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