3x^3y^4+7x^3y^4-10x^4y^3=

Solution for 3x^3y^4+7x^3y^4-10x^4y^3= equation:

Simplifying
3x3y4 + 7x3y4 + -10x4y3 = 0

Combine like terms: 3x3y4 + 7x3y4 = 10x3y4
10x3y4 + -10x4y3 = 0

Solving
10x3y4 + -10x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x3y3'.
10x3y3(y + -1x) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 'x3y3' equal to zero and attempt to solve:

Simplifying
x3y3 = 0

Solving
x3y3 = 0

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

Simplifying
x3y3 = 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 '(y + -1x)' equal to zero and attempt to solve:

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

Add '-1y' to each side of the equation.
-1x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

Divide each side by '-1'.
x = y

Simplifying
x = y
Solution
x = {y}