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Simplifying 12y3 + -10y2 = 0 Reorder the terms: -10y2 + 12y3 = 0 Solving -10y2 + 12y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y2'. 2y2(-5 + 6y) = 0 Ignore the factor 2.Subproblem 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 '(-5 + 6y)' equal to zero and attempt to solve: Simplifying -5 + 6y = 0 Solving -5 + 6y = 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 + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6y = 0 + 5 6y = 0 + 5 Combine like terms: 0 + 5 = 5 6y = 5 Divide each side by '6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {0, 0.8333333333}
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