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Simplifying 8y(y + 4) = 0 Reorder the terms: 8y(4 + y) = 0 (4 * 8y + y * 8y) = 0 (32y + 8y2) = 0 Solving 32y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(4 + y) = 0 Ignore the factor 8.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 '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {0, -4}
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