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Simplifying 6y2 = 27y Solving 6y2 = 27y Solving for variable 'y'. Reorder the terms: -27y + 6y2 = 27y + -27y Combine like terms: 27y + -27y = 0 -27y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '3y'. 3y(-9 + 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 '(-9 + 2y)' equal to zero and attempt to solve: Simplifying -9 + 2y = 0 Solving -9 + 2y = 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 + 2y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2y = 0 + 9 2y = 0 + 9 Combine like terms: 0 + 9 = 9 2y = 9 Divide each side by '2'. y = 4.5 Simplifying y = 4.5Solution
y = {0, 4.5}
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