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Simplifying 59y = 29y(2y + 6) Reorder the terms: 59y = 29y(6 + 2y) 59y = (6 * 29y + 2y * 29y) 59y = (174y + 58y2) Solving 59y = 174y + 58y2 Solving for variable 'y'. Combine like terms: 59y + -174y = -115y -115y + -58y2 = 174y + 58y2 + -174y + -58y2 Reorder the terms: -115y + -58y2 = 174y + -174y + 58y2 + -58y2 Combine like terms: 174y + -174y = 0 -115y + -58y2 = 0 + 58y2 + -58y2 -115y + -58y2 = 58y2 + -58y2 Combine like terms: 58y2 + -58y2 = 0 -115y + -58y2 = 0 Factor out the Greatest Common Factor (GCF), '-1y'. -1y(115 + 58y) = 0 Ignore the factor -1.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 '(115 + 58y)' equal to zero and attempt to solve: Simplifying 115 + 58y = 0 Solving 115 + 58y = 0 Move all terms containing y to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + 58y = 0 + -115 Combine like terms: 115 + -115 = 0 0 + 58y = 0 + -115 58y = 0 + -115 Combine like terms: 0 + -115 = -115 58y = -115 Divide each side by '58'. y = -1.982758621 Simplifying y = -1.982758621Solution
y = {0, -1.982758621}
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