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Simplifying 9y2 + 30y2 + 25y = 0 Reorder the terms: 25y + 9y2 + 30y2 = 0 Combine like terms: 9y2 + 30y2 = 39y2 25y + 39y2 = 0 Solving 25y + 39y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(25 + 39y) = 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 '(25 + 39y)' equal to zero and attempt to solve: Simplifying 25 + 39y = 0 Solving 25 + 39y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 39y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 39y = 0 + -25 39y = 0 + -25 Combine like terms: 0 + -25 = -25 39y = -25 Divide each side by '39'. y = -0.641025641 Simplifying y = -0.641025641Solution
y = {0, -0.641025641}
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