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Simplifying 9y2(y + 5) = 0 Reorder the terms: 9y2(5 + y) = 0 (5 * 9y2 + y * 9y2) = 0 (45y2 + 9y3) = 0 Solving 45y2 + 9y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y2'. 9y2(5 + y) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(5 + y)' equal to zero and attempt to solve: Simplifying 5 + y = 0 Solving 5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + y = 0 + -5 y = 0 + -5 Combine like terms: 0 + -5 = -5 y = -5 Simplifying y = -5Solution
y = {0, -5}
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