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Simplifying y2 + 10y + 25y2 + -3y = 0 Reorder the terms: 10y + -3y + y2 + 25y2 = 0 Combine like terms: 10y + -3y = 7y 7y + y2 + 25y2 = 0 Combine like terms: y2 + 25y2 = 26y2 7y + 26y2 = 0 Solving 7y + 26y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(7 + 26y) = 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 '(7 + 26y)' equal to zero and attempt to solve: Simplifying 7 + 26y = 0 Solving 7 + 26y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 26y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 26y = 0 + -7 26y = 0 + -7 Combine like terms: 0 + -7 = -7 26y = -7 Divide each side by '26'. y = -0.2692307692 Simplifying y = -0.2692307692Solution
y = {0, -0.2692307692}
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