p^6+63p^3-64=0

Solution for p^6+63p^3-64=0 equation:

Simplifying
p6 + 63p3 + -64 = 0

Reorder the terms:
-64 + 63p3 + p6 = 0

Solving
-64 + 63p3 + p6 = 0

Solving for variable 'p'.

Factor a trinomial.
(-64 + -1p3)(1 + -1p3) = 0

Subproblem 1
Set the factor '(-64 + -1p3)' equal to zero and attempt to solve:

Simplifying
-64 + -1p3 = 0

Solving
-64 + -1p3 = 0

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

Add '64' to each side of the equation.
-64 + 64 + -1p3 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -1p3 = 0 + 64
-1p3 = 0 + 64

Combine like terms: 0 + 64 = 64
-1p3 = 64

Divide each side by '-1'.
p3 = -64

Simplifying
p3 = -64

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 + -1p3)' equal to zero and attempt to solve:

Simplifying
1 + -1p3 = 0

Solving
1 + -1p3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1p3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1p3 = 0 + -1
-1p3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1p3 = -1

Divide each side by '-1'.
p3 = 1

Simplifying
p3 = 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.