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Simplifying 54y3 + -9y2 = 0 Reorder the terms: -9y2 + 54y3 = 0 Solving -9y2 + 54y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9y2'. 9y2(-1 + 6y) = 0 Ignore the factor 9.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 '(-1 + 6y)' equal to zero and attempt to solve: Simplifying -1 + 6y = 0 Solving -1 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6y = 0 + 1 6y = 0 + 1 Combine like terms: 0 + 1 = 1 6y = 1 Divide each side by '6'. y = 0.1666666667 Simplifying y = 0.1666666667Solution
y = {0, 0.1666666667}
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