-p^3(4p^2+3p-1)=0

Solution for -p^3(4p^2+3p-1)=0 equation:

Simplifying
-1p3(4p2 + 3p + -1) = 0

Reorder the terms:
-1p3(-1 + 3p + 4p2) = 0
(-1 * -1p3 + 3p * -1p3 + 4p2 * -1p3) = 0
(1p3 + -3p4 + -4p5) = 0

Solving
1p3 + -3p4 + -4p5 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p3'.
p3(1 + -3p + -4p2) = 0

Factor a trinomial.
p3((1 + -4p)(1 + p)) = 0

Subproblem 1
Set the factor 'p3' equal to zero and attempt to solve:

Simplifying
p3 = 0

Solving
p3 = 0

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

Simplifying
p3 = 0

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 + -4p)' equal to zero and attempt to solve:

Simplifying
1 + -4p = 0

Solving
1 + -4p = 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 + -4p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4p = 0 + -1
-4p = 0 + -1

Combine like terms: 0 + -1 = -1
-4p = -1

Divide each side by '-4'.
p = 0.25

Simplifying
p = 0.25
Subproblem 3
Set the factor '(1 + p)' equal to zero and attempt to solve:

Simplifying
1 + p = 0

Solving
1 + p = 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 + p = 0 + -1

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

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

Simplifying
p = -1
Solution
p = {0.25, -1}