5y^2=20y

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Solution for 5y^2=20y equation:


Simplifying
5y2 = 20y

Solving
5y2 = 20y

Solving for variable 'y'.

Reorder the terms:
-20y + 5y2 = 20y + -20y

Combine like terms: 20y + -20y = 0
-20y + 5y2 = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(-4 + y) = 0

Ignore the factor 5.

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 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4

Solution

y = {0, 4}

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