37g^8-37h^8=

Solution for 37g^8-37h^8= equation:

Simplifying
37g8 + -37h8 = 0

Solving
37g8 + -37h8 = 0

Solving for variable 'g'.

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

Add '37h8' to each side of the equation.
37g8 + -37h8 + 37h8 = 0 + 37h8

Combine like terms: -37h8 + 37h8 = 0
37g8 + 0 = 0 + 37h8
37g8 = 0 + 37h8
Remove the zero:
37g8 = 37h8

Divide each side by '37'.
g8 = h8

Simplifying
g8 = h8

Combine like terms: h8 + -1h8 = 0
g8 + -1h8 = 0

Factor a difference between two squares.
(g4 + h4)(g4 + -1h4) = 0

Factor a difference between two squares.
(g4 + h4)((g2 + h2)(g2 + -1h2)) = 0

Factor a difference between two squares.
(g4 + h4)((g2 + h2)((g + h)(g + -1h))) = 0

Subproblem 1
Set the factor '(g4 + h4)' equal to zero and attempt to solve:

Simplifying
g4 + h4 = 0

Solving
g4 + h4 = 0

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

Add '-1h4' to each side of the equation.
g4 + h4 + -1h4 = 0 + -1h4

Combine like terms: h4 + -1h4 = 0
g4 + 0 = 0 + -1h4
g4 = 0 + -1h4
Remove the zero:
g4 = -1h4

Simplifying
g4 = -1h4

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 '(g2 + h2)' equal to zero and attempt to solve:

Simplifying
g2 + h2 = 0

Solving
g2 + h2 = 0

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

Add '-1h2' to each side of the equation.
g2 + h2 + -1h2 = 0 + -1h2

Combine like terms: h2 + -1h2 = 0
g2 + 0 = 0 + -1h2
g2 = 0 + -1h2
Remove the zero:
g2 = -1h2

Simplifying
g2 = -1h2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(g + h)' equal to zero and attempt to solve:

Simplifying
g + h = 0

Solving
g + h = 0

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

Add '-1h' to each side of the equation.
g + h + -1h = 0 + -1h

Combine like terms: h + -1h = 0
g + 0 = 0 + -1h
g = 0 + -1h
Remove the zero:
g = -1h

Simplifying
g = -1h
Subproblem 4
Set the factor '(g + -1h)' equal to zero and attempt to solve:

Simplifying
g + -1h = 0

Solving
g + -1h = 0

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

Add 'h' to each side of the equation.
g + -1h + h = 0 + h

Combine like terms: -1h + h = 0
g + 0 = 0 + h
g = 0 + h
Remove the zero:
g = h

Simplifying
g = h
Solution
g = {-1h, h}