3y^2=24y

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Solution for 3y^2=24y equation:


Simplifying
3y2 = 24y

Solving
3y2 = 24y

Solving for variable 'y'.

Reorder the terms:
-24y + 3y2 = 24y + -24y

Combine like terms: 24y + -24y = 0
-24y + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-8 + 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 '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Simplifying y = 8

Solution

y = {0, 8}

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