2y^2=10y

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Solution for 2y^2=10y equation:


Simplifying
2y2 = 10y

Solving
2y2 = 10y

Solving for variable 'y'.

Reorder the terms:
-10y + 2y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
-10y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-5 + y) = 0

Ignore the factor 2.

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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