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Simplifying 8y(y + 5) + -1y = 0 Reorder the terms: 8y(5 + y) + -1y = 0 (5 * 8y + y * 8y) + -1y = 0 (40y + 8y2) + -1y = 0 Reorder the terms: 40y + -1y + 8y2 = 0 Combine like terms: 40y + -1y = 39y 39y + 8y2 = 0 Solving 39y + 8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(39 + 8y) = 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 '(39 + 8y)' equal to zero and attempt to solve: Simplifying 39 + 8y = 0 Solving 39 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 8y = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 8y = 0 + -39 8y = 0 + -39 Combine like terms: 0 + -39 = -39 8y = -39 Divide each side by '8'. y = -4.875 Simplifying y = -4.875Solution
y = {0, -4.875}
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