3y^2=108y

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Solution for 3y^2=108y equation:


Simplifying
3y2 = 108y

Solving
3y2 = 108y

Solving for variable 'y'.

Reorder the terms:
-108y + 3y2 = 108y + -108y

Combine like terms: 108y + -108y = 0
-108y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-36 + y) = 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 = 0

Subproblem 2

Set the factor '(-36 + y)' equal to zero and attempt to solve: Simplifying -36 + y = 0 Solving -36 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + y = 0 + 36 y = 0 + 36 Combine like terms: 0 + 36 = 36 y = 36 Simplifying y = 36

Solution

y = {0, 36}

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