21y^2=42xy

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Solution for 21y^2=42xy equation: 


Simplifying
21y2 = 42xy

Solving
21y2 = 42xy

Solving for variable 'y'.

Reorder the terms:
-42xy + 21y2 = 42xy + -42xy

Combine like terms: 42xy + -42xy = 0
-42xy + 21y2 = 0

Factor out the Greatest Common Factor (GCF), '21y'.
21y(-2x + y) = 0

Ignore the factor 21.

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 '(-2x + y)' equal to zero and attempt to solve:

Simplifying
-2x + y = 0

Solving
-2x + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '2x' to each side of the equation.
-2x + 2x + y = 0 + 2x

Combine like terms: -2x + 2x = 0
0 + y = 0 + 2x
y = 0 + 2x
Remove the zero:
y = 2x

Simplifying
y = 2x
Solution
y = {0, 2x}

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