6=5x^3y

Solution for 6=5x^3y equation:

Simplifying
6 = 5x3y

Solving
6 = 5x3y

Solving for variable 'x'.

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

Add '-5x3y' to each side of the equation.
6 + -5x3y = 5x3y + -5x3y

Combine like terms: 5x3y + -5x3y = 0
6 + -5x3y = 0

Add '-6' to each side of the equation.
6 + -6 + -5x3y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x3y = 0 + -6
-5x3y = 0 + -6

Combine like terms: 0 + -6 = -6
-5x3y = -6

Divide each side by '-5y'.
x3 = 1.2y-1

Simplifying
x3 = 1.2y-1

Combine like terms: 1.2y-1 + -1.2y-1 = 0.0
x3 + -1.2y-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x3y + -1.2) = 0.0

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

Simplifying
y-1 = 0

Solving
y-1 = 0

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

Add '-1y-1' to each side of the equation.
y-1 + -1y-1 = 0 + -1y-1
Remove the zero:
0 = -1y-1

Simplifying
0 = -1y-1

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 '(x3y + -1.2)' equal to zero and attempt to solve:

Simplifying
x3y + -1.2 = 0

Reorder the terms:
-1.2 + x3y = 0

Solving
-1.2 + x3y = 0

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

Add '1.2' to each side of the equation.
-1.2 + 1.2 + x3y = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + x3y = 0 + 1.2
x3y = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
x3y = 1.2

Divide each side by 'y'.
x3 = 1.2y-1

Simplifying
x3 = 1.2y-1

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.