6p^8+p^2=

Solution for 6p^8+p^2= equation:

Simplifying
6p8 + p2 = 0

Reorder the terms:
p2 + 6p8 = 0

Solving
p2 + 6p8 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p2'.
p2(1 + 6p6) = 0

Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

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

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(1 + 6p6)' equal to zero and attempt to solve:

Simplifying
1 + 6p6 = 0

Solving
1 + 6p6 = 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 + 6p6 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6p6 = 0 + -1
6p6 = 0 + -1

Combine like terms: 0 + -1 = -1
6p6 = -1

Divide each side by '6'.
p6 = -0.1666666667

Simplifying
p6 = -0.1666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}