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Simplifying (15y2) = (10y) Solving (15y2) = (10y) Solving for variable 'y'. Reorder the terms: (-10y) + (15y2) = (10y) + (-10y) Combine like terms: (10y) + (-10y) = 0 (-10y) + (15y2) = 0 Factor out the Greatest Common Factor (GCF), '5y'. 5y(-2 + (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 '(-2 + (3y))' equal to zero and attempt to solve: Simplifying -2 + (3y) = 0 Solving -2 + (3y) = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + (3y) = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (3y) = 0 + 2 (3y) = 0 + 2 Combine like terms: 0 + 2 = 2 (3y) = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667Solution
y = {0, 0.6666666667}
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