125y^2=625y

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Solution for 125y^2=625y equation:


Simplifying
125y2 = 625y

Solving
125y2 = 625y

Solving for variable 'y'.

Reorder the terms:
-625y + 125y2 = 625y + -625y

Combine like terms: 625y + -625y = 0
-625y + 125y2 = 0

Factor out the Greatest Common Factor (GCF), '125y'.
125y(-5 + y) = 0

Ignore the factor 125.

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 '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5

Solution

y = {0, 5}

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