uv^3y^4-u^3v^7=0

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Solution for uv^3y^4-u^3v^7=0 equation: 


Simplifying
uv3y4 + -1u3v7 = 0

Solving
uv3y4 + -1u3v7 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'uv3'.
uv3(y4 + -1u2v4) = 0

Factor a difference between two squares.
uv3((y2 + uv2)(y2 + -1uv2)) = 0


Subproblem 1
Set the factor 'uv3' equal to zero and attempt to solve:

Simplifying
uv3 = 0

Solving
uv3 = 0

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

Simplifying
uv3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(y2 + uv2)' equal to zero and attempt to solve:

Simplifying
y2 + uv2 = 0

Reorder the terms:
uv2 + y2 = 0

Solving
uv2 + y2 = 0

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

Add '-1y2' to each side of the equation.
uv2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
uv2 + 0 = 0 + -1y2
uv2 = 0 + -1y2
Remove the zero:
uv2 = -1y2

Divide each side by 'v2'.
u = -1v-2y2

Simplifying
u = -1v-2y2

Subproblem 3
Set the factor '(y2 + -1uv2)' equal to zero and attempt to solve:

Simplifying
y2 + -1uv2 = 0

Reorder the terms:
-1uv2 + y2 = 0

Solving
-1uv2 + y2 = 0

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

Add '-1y2' to each side of the equation.
-1uv2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
-1uv2 + 0 = 0 + -1y2
-1uv2 = 0 + -1y2
Remove the zero:
-1uv2 = -1y2

Divide each side by '-1v2'.
u = v-2y2

Simplifying
u = v-2y2
Solution
u = {-1v-2y2, v-2y2}

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