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Simplifying -40y3 = 64y2 Solving -40y3 = 64y2 Solving for variable 'y'. Reorder the terms: -64y2 + -40y3 = 64y2 + -64y2 Combine like terms: 64y2 + -64y2 = 0 -64y2 + -40y3 = 0 Factor out the Greatest Common Factor (GCF), '-8y2'. -8y2(8 + 5y) = 0 Ignore the factor -8.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 '(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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