y^2=10y

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Solution for y^2=10y equation:


Simplifying
y2 = 10y

Solving
y2 = 10y

Solving for variable 'y'.

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

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(-10 + y) = 0

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 '(-10 + y)' equal to zero and attempt to solve: Simplifying -10 + y = 0 Solving -10 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + y = 0 + 10 y = 0 + 10 Combine like terms: 0 + 10 = 10 y = 10 Simplifying y = 10

Solution

y = {0, 10}

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