7p^3(4p^2+3p-1)=

Solution for 7p^3(4p^2+3p-1)= equation:

Simplifying
7p3(4p2 + 3p + -1) = 0

Reorder the terms:
7p3(-1 + 3p + 4p2) = 0
(-1 * 7p3 + 3p * 7p3 + 4p2 * 7p3) = 0
(-7p3 + 21p4 + 28p5) = 0

Solving
-7p3 + 21p4 + 28p5 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7p3'.
7p3(-1 + 3p + 4p2) = 0

Factor a trinomial.
7p3((-1 + -1p)(1 + -4p)) = 0

Ignore the factor 7.
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 + -1p)' equal to zero and attempt to solve:

Simplifying
-1 + -1p = 0

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

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

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

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

Simplifying
p = -1
Subproblem 3
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
Solution
p = {-1, 0.25}