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Simplifying 20y3 + -16y2 = 0 Reorder the terms: -16y2 + 20y3 = 0 Solving -16y2 + 20y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(-4 + 5y) = 0 Ignore the factor 4.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 '(-4 + 5y)' equal to zero and attempt to solve: Simplifying -4 + 5y = 0 Solving -4 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 0 + 4 5y = 0 + 4 Combine like terms: 0 + 4 = 4 5y = 4 Divide each side by '5'. y = 0.8 Simplifying y = 0.8Solution
y = {0, 0.8}
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