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Simplifying (3y + 9)(3y + 9) = 81 Reorder the terms: (9 + 3y)(3y + 9) = 81 Reorder the terms: (9 + 3y)(9 + 3y) = 81 Multiply (9 + 3y) * (9 + 3y) (9(9 + 3y) + 3y * (9 + 3y)) = 81 ((9 * 9 + 3y * 9) + 3y * (9 + 3y)) = 81 ((81 + 27y) + 3y * (9 + 3y)) = 81 (81 + 27y + (9 * 3y + 3y * 3y)) = 81 (81 + 27y + (27y + 9y2)) = 81 Combine like terms: 27y + 27y = 54y (81 + 54y + 9y2) = 81 Add '-81' to each side of the equation. 81 + 54y + -81 + 9y2 = 81 + -81 Reorder the terms: 81 + -81 + 54y + 9y2 = 81 + -81 Combine like terms: 81 + -81 = 0 0 + 54y + 9y2 = 81 + -81 54y + 9y2 = 81 + -81 Combine like terms: 81 + -81 = 0 54y + 9y2 = 0 Solving 54y + 9y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y'. 9y(6 + y) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve: Simplifying 6 + y = 0 Solving 6 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + y = 0 + -6 y = 0 + -6 Combine like terms: 0 + -6 = -6 y = -6 Simplifying y = -6Solution
y = {0, -6}
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