6p^3+7p+2p=0

Solution for 6p^3+7p+2p=0 equation:

Simplifying
6p3 + 7p + 2p = 0

Reorder the terms:
7p + 2p + 6p3 = 0

Combine like terms: 7p + 2p = 9p
9p + 6p3 = 0

Solving
9p + 6p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(3 + 2p2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(3 + 2p2)' equal to zero and attempt to solve:

Simplifying
3 + 2p2 = 0

Solving
3 + 2p2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2p2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2p2 = 0 + -3
2p2 = 0 + -3

Combine like terms: 0 + -3 = -3
2p2 = -3

Divide each side by '2'.
p2 = -1.5

Simplifying
p2 = -1.5

The solution to this equation could not be determined.

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