30y^2=36y

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Solution for 30y^2=36y equation:


Simplifying
30y2 = 36y

Solving
30y2 = 36y

Solving for variable 'y'.

Reorder the terms:
-36y + 30y2 = 36y + -36y

Combine like terms: 36y + -36y = 0
-36y + 30y2 = 0

Factor out the Greatest Common Factor (GCF), '6y'.
6y(-6 + 5y) = 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 '(-6 + 5y)' equal to zero and attempt to solve: Simplifying -6 + 5y = 0 Solving -6 + 5y = 0 Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2

Solution

y = {0, 1.2}

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