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Simplifying 5y3 + 10y2 + -8y3 = 0 Reorder the terms: 10y2 + 5y3 + -8y3 = 0 Combine like terms: 5y3 + -8y3 = -3y3 10y2 + -3y3 = 0 Solving 10y2 + -3y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(10 + -3y) = 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 '(10 + -3y)' equal to zero and attempt to solve: Simplifying 10 + -3y = 0 Solving 10 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 0 + -10 -3y = 0 + -10 Combine like terms: 0 + -10 = -10 -3y = -10 Divide each side by '-3'. y = 3.333333333 Simplifying y = 3.333333333Solution
y = {0, 3.333333333}
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