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Simplifying 5y3 + -8y2 = 0 Reorder the terms: -8y2 + 5y3 = 0 Solving -8y2 + 5y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(-8 + 5y) = 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 '(-8 + 5y)' equal to zero and attempt to solve: Simplifying -8 + 5y = 0 Solving -8 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 0 + 8 5y = 0 + 8 Combine like terms: 0 + 8 = 8 5y = 8 Divide each side by '5'. y = 1.6 Simplifying y = 1.6Solution
y = {0, 1.6}
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