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Simplifying 3y2 + -18y2 + 27y = 0 Reorder the terms: 27y + 3y2 + -18y2 = 0 Combine like terms: 3y2 + -18y2 = -15y2 27y + -15y2 = 0 Solving 27y + -15y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y'. 3y(9 + -5y) = 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 '(9 + -5y)' equal to zero and attempt to solve: Simplifying 9 + -5y = 0 Solving 9 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = 0 + -9 -5y = 0 + -9 Combine like terms: 0 + -9 = -9 -5y = -9 Divide each side by '-5'. y = 1.8 Simplifying y = 1.8Solution
y = {0, 1.8}
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