70x^7y^5=7x^5y

Solution for 70x^7y^5=7x^5y equation:

Simplifying
70x7y5 = 7x5y

Solving
70x7y5 = 7x5y

Solving for variable 'x'.

Reorder the terms:
-7x5y + 70x7y5 = 7x5y + -7x5y

Combine like terms: 7x5y + -7x5y = 0
-7x5y + 70x7y5 = 0

Factor out the Greatest Common Factor (GCF), '7x5y'.
7x5y(-1 + 10x2y4) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'x5y' equal to zero and attempt to solve:

Simplifying
x5y = 0

Solving
x5y = 0

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

Simplifying
x5y = 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 '(-1 + 10x2y4)' equal to zero and attempt to solve:

Simplifying
-1 + 10x2y4 = 0

Solving
-1 + 10x2y4 = 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 + 10x2y4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10x2y4 = 0 + 1
10x2y4 = 0 + 1

Combine like terms: 0 + 1 = 1
10x2y4 = 1

Divide each side by '10y4'.
x2 = 0.1y-4

Simplifying
x2 = 0.1y-4

Take the square root of each side:
x = {-0.316227766y-2, 0.316227766y-2}
Solution
x = {-0.316227766y-2, 0.316227766y-2}