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Simplifying y2 + 8y + 16y = 0 Reorder the terms: 8y + 16y + y2 = 0 Combine like terms: 8y + 16y = 24y 24y + y2 = 0 Solving 24y + y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(24 + y) = 0Subproblem 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 '(24 + y)' equal to zero and attempt to solve: Simplifying 24 + y = 0 Solving 24 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + y = 0 + -24 y = 0 + -24 Combine like terms: 0 + -24 = -24 y = -24 Simplifying y = -24Solution
y = {0, -24}
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