9y^2=27y

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Solution for 9y^2=27y equation:


Simplifying
9y2 = 27y

Solving
9y2 = 27y

Solving for variable 'y'.

Reorder the terms:
-27y + 9y2 = 27y + -27y

Combine like terms: 27y + -27y = 0
-27y + 9y2 = 0

Factor out the Greatest Common Factor (GCF), '9y'.
9y(-3 + y) = 0

Ignore the factor 9.

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 = 0

Subproblem 2

Set the factor '(-3 + y)' equal to zero and attempt to solve: Simplifying -3 + y = 0 Solving -3 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y = 0 + 3 y = 0 + 3 Combine like terms: 0 + 3 = 3 y = 3 Simplifying y = 3

Solution

y = {0, 3}

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