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Simplifying 980y2 + 25y = 0 Reorder the terms: 25y + 980y2 = 0 Solving 25y + 980y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y'. 5y(5 + 196y) = 0 Ignore the factor 5.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 '(5 + 196y)' equal to zero and attempt to solve: Simplifying 5 + 196y = 0 Solving 5 + 196y = 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 + 196y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 196y = 0 + -5 196y = 0 + -5 Combine like terms: 0 + -5 = -5 196y = -5 Divide each side by '196'. y = -0.02551020408 Simplifying y = -0.02551020408Solution
y = {0, -0.02551020408}
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