x^6-63x^3=64

Solution for x^6-63x^3=64 equation:

Simplifying
x6 + -63x3 = 64

Reorder the terms:
-63x3 + x6 = 64

Solving
-63x3 + x6 = 64

Solving for variable 'x'.

Reorder the terms:
-64 + -63x3 + x6 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + -63x3 + x6 = 0

Factor a trinomial.
(-1 + -1x3)(64 + -1x3) = 0

Subproblem 1
Set the factor '(-1 + -1x3)' equal to zero and attempt to solve:

Simplifying
-1 + -1x3 = 0

Solving
-1 + -1x3 = 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 + -1x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x3 = 0 + 1
-1x3 = 0 + 1

Combine like terms: 0 + 1 = 1
-1x3 = 1

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

Simplifying
x3 = -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 '(64 + -1x3)' equal to zero and attempt to solve:

Simplifying
64 + -1x3 = 0

Solving
64 + -1x3 = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x3 = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x3 = 0 + -64
-1x3 = 0 + -64

Combine like terms: 0 + -64 = -64
-1x3 = -64

Divide each side by '-1'.
x3 = 64

Simplifying
x3 = 64

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.