2y^2=72y

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Solution for 2y^2=72y equation:


Simplifying
2y2 = 72y

Solving
2y2 = 72y

Solving for variable 'y'.

Reorder the terms:
-72y + 2y2 = 72y + -72y

Combine like terms: 72y + -72y = 0
-72y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-36 + y) = 0

Ignore the factor 2.

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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