y^2=19y

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Solution for y^2=19y equation:


Simplifying
y2 = 19y

Solving
y2 = 19y

Solving for variable 'y'.

Reorder the terms:
-19y + y2 = 19y + -19y

Combine like terms: 19y + -19y = 0
-19y + y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-19 + 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 '(-19 + y)' equal to zero and attempt to solve: Simplifying -19 + y = 0 Solving -19 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + y = 0 + 19 y = 0 + 19 Combine like terms: 0 + 19 = 19 y = 19 Simplifying y = 19

Solution

y = {0, 19}

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