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Simplifying 25y3 + -30y2 = 0 Reorder the terms: -30y2 + 25y3 = 0 Solving -30y2 + 25y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '5y2'. 5y2(-6 + 5y) = 0 Ignore the factor 5.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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2Solution
y = {0, 1.2}
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