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Simplifying 15y2 = 20y Solving 15y2 = 20y Solving for variable 'y'. Reorder the terms: -20y + 15y2 = 20y + -20y Combine like terms: 20y + -20y = 0 -20y + 15y2 = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-4 + 3y) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 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 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Divide each side by '3'. y = 1.333333333 Simplifying y = 1.333333333Solution
y = {0, 1.333333333}
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