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Simplifying 80y3 = 16y2 Solving 80y3 = 16y2 Solving for variable 'y'. Reorder the terms: -16y2 + 80y3 = 16y2 + -16y2 Combine like terms: 16y2 + -16y2 = 0 -16y2 + 80y3 = 0 Factor out the Greatest Common Factor (GCF), '16y2'. 16y2(-1 + 5y) = 0 Ignore the factor 16.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 '(-1 + 5y)' equal to zero and attempt to solve: Simplifying -1 + 5y = 0 Solving -1 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5y = 0 + 1 5y = 0 + 1 Combine like terms: 0 + 1 = 1 5y = 1 Divide each side by '5'. y = 0.2 Simplifying y = 0.2Solution
y = {0, 0.2}
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