6y^2=12y

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Solution for 6y^2=12y equation:


Simplifying
6y2 = 12y

Solving
6y2 = 12y

Solving for variable 'y'.

Reorder the terms:
-12y + 6y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
-12y + 6y2 = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-2 + y) = 0

Ignore the factor 6.

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 '(-2 + y)' equal to zero and attempt to solve: Simplifying -2 + y = 0 Solving -2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + y = 0 + 2 y = 0 + 2 Combine like terms: 0 + 2 = 2 y = 2 Simplifying y = 2

Solution

y = {0, 2}

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