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Simplifying 11y3 + 12y2 = 0 Reorder the terms: 12y2 + 11y3 = 0 Solving 12y2 + 11y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(12 + 11y) = 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 '(12 + 11y)' equal to zero and attempt to solve: Simplifying 12 + 11y = 0 Solving 12 + 11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 11y = 0 + -12 11y = 0 + -12 Combine like terms: 0 + -12 = -12 11y = -12 Divide each side by '11'. y = -1.090909091 Simplifying y = -1.090909091Solution
y = {0, -1.090909091}
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