(g^3-h)(g^3+h)=0

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Solution for (g^3-h)(g^3+h)=0 equation: 


Simplifying
(g3 + -1h)(g3 + h) = 0

Multiply (g3 + -1h) * (g3 + h)
(g3(g3 + h) + -1h * (g3 + h)) = 0
((g3 * g3 + h * g3) + -1h * (g3 + h)) = 0

Reorder the terms:
((g3h + g6) + -1h * (g3 + h)) = 0
((g3h + g6) + -1h * (g3 + h)) = 0
(g3h + g6 + (g3 * -1h + h * -1h)) = 0
(g3h + g6 + (-1g3h + -1h2)) = 0

Reorder the terms:
(g3h + -1g3h + g6 + -1h2) = 0

Combine like terms: g3h + -1g3h = 0
(0 + g6 + -1h2) = 0
(g6 + -1h2) = 0

Solving
g6 + -1h2 = 0

Solving for variable 'g'.

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

Add 'h2' to each side of the equation.
g6 + -1h2 + h2 = 0 + h2

Combine like terms: -1h2 + h2 = 0
g6 + 0 = 0 + h2
g6 = 0 + h2
Remove the zero:
g6 = h2

Simplifying
g6 = h2

Combine like terms: h2 + -1h2 = 0
g6 + -1h2 = 0

Factor a difference between two squares.
(g3 + h)(g3 + -1h) = 0


Subproblem 1
Set the factor '(g3 + h)' equal to zero and attempt to solve:

Simplifying
g3 + h = 0

Solving
g3 + h = 0

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

Add '-1h' to each side of the equation.
g3 + h + -1h = 0 + -1h

Combine like terms: h + -1h = 0
g3 + 0 = 0 + -1h
g3 = 0 + -1h
Remove the zero:
g3 = -1h

Simplifying
g3 = -1h

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 '(g3 + -1h)' equal to zero and attempt to solve:

Simplifying
g3 + -1h = 0

Solving
g3 + -1h = 0

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

Add 'h' to each side of the equation.
g3 + -1h + h = 0 + h

Combine like terms: -1h + h = 0
g3 + 0 = 0 + h
g3 = 0 + h
Remove the zero:
g3 = h

Simplifying
g3 = h

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.

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