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Simplifying 13y3 + 7y2 = 0 Reorder the terms: 7y2 + 13y3 = 0 Solving 7y2 + 13y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(7 + 13y) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(7 + 13y)' equal to zero and attempt to solve: Simplifying 7 + 13y = 0 Solving 7 + 13y = 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 + 13y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 13y = 0 + -7 13y = 0 + -7 Combine like terms: 0 + -7 = -7 13y = -7 Divide each side by '13'. y = -0.5384615385 Simplifying y = -0.5384615385Solution
y = {0, -0.5384615385}
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