9y^2=12y

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Solution for 9y^2=12y equation:


Simplifying
9y2 = 12y

Solving
9y2 = 12y

Solving for variable 'y'.

Reorder the terms:
-12y + 9y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
-12y + 9y2 = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-4 + 3y) = 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 '(-4 + 3y)' equal to zero and attempt to solve: Simplifying -4 + 3y = 0 Solving -4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 0 + 4 3y = 0 + 4 Combine like terms: 0 + 4 = 4 3y = 4 Divide each side by '3'. y = 1.333333333 Simplifying y = 1.333333333

Solution

y = {0, 1.333333333}

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