6p^3-2p^3r^2+8p^2r^3st=0

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Solution for 6p^3-2p^3r^2+8p^2r^3st=0 equation: 


Simplifying
6p3 + -2p3r2 + 8p2r3st = 0

Reorder the terms:
8p2r3st + 6p3 + -2p3r2 = 0

Solving
8p2r3st + 6p3 + -2p3r2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p2'.
2p2(4r3st + 3p + -1pr2) = 0

Ignore the factor 2.

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 '(4r3st + 3p + -1pr2)' equal to zero and attempt to solve:

Simplifying
4r3st + 3p + -1pr2 = 0

Reorder the terms:
3p + -1pr2 + 4r3st = 0

Solving
3p + -1pr2 + 4r3st = 0

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

Add '-4r3st' to each side of the equation.
3p + -1pr2 + 4r3st + -4r3st = 0 + -4r3st

Combine like terms: 4r3st + -4r3st = 0
3p + -1pr2 + 0 = 0 + -4r3st
3p + -1pr2 = 0 + -4r3st
Remove the zero:
3p + -1pr2 = -4r3st

The solution to this equation could not be determined.

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

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