2x+34y*x=12xy

Solution for 2x+34y*x=12xy equation:

Simplifying
2x + 34y * x = 12xy

Multiply y * x
2x + 34xy = 12xy

Solving
2x + 34xy = 12xy

Solving for variable 'x'.

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

Add '-12xy' to each side of the equation.
2x + 34xy + -12xy = 12xy + -12xy

Combine like terms: 34xy + -12xy = 22xy
2x + 22xy = 12xy + -12xy

Combine like terms: 12xy + -12xy = 0
2x + 22xy = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1 + 11y) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + 11y)' equal to zero and attempt to solve:

Simplifying
1 + 11y = 0

Solving
1 + 11y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 11y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 11y = 0 + -1
11y = 0 + -1

Combine like terms: 0 + -1 = -1
11y = -1

Add '-11y' to each side of the equation.
11y + -11y = -1 + -11y

Combine like terms: 11y + -11y = 0
0 = -1 + -11y

Simplifying
0 = -1 + -11y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}