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Simplifying 4y2 + 36y + 81 = 81 Reorder the terms: 81 + 36y + 4y2 = 81 Add '-81' to each side of the equation. 81 + 36y + -81 + 4y2 = 81 + -81 Reorder the terms: 81 + -81 + 36y + 4y2 = 81 + -81 Combine like terms: 81 + -81 = 0 0 + 36y + 4y2 = 81 + -81 36y + 4y2 = 81 + -81 Combine like terms: 81 + -81 = 0 36y + 4y2 = 0 Solving 36y + 4y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(9 + y) = 0 Ignore the factor 4.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 '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Solution
y = {0, -9}
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