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Simplifying 6y2 + -15y = 0 Reorder the terms: -15y + 6y2 = 0 Solving -15y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(-5 + 2y) = 0 Ignore the factor 3.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 '(-5 + 2y)' equal to zero and attempt to solve: Simplifying -5 + 2y = 0 Solving -5 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 0 + 5 2y = 0 + 5 Combine like terms: 0 + 5 = 5 2y = 5 Divide each side by '2'. y = 2.5 Simplifying y = 2.5Solution
y = {0, 2.5}
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