3y^2=60y

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Solution for 3y^2=60y equation:


Simplifying
3y2 = 60y

Solving
3y2 = 60y

Solving for variable 'y'.

Reorder the terms:
-60y + 3y2 = 60y + -60y

Combine like terms: 60y + -60y = 0
-60y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-20 + 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 '(-20 + y)' equal to zero and attempt to solve: Simplifying -20 + y = 0 Solving -20 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + y = 0 + 20 y = 0 + 20 Combine like terms: 0 + 20 = 20 y = 20 Simplifying y = 20

Solution

y = {0, 20}

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