2p(p-1)(p+1)=

Solution for 2p(p-1)(p+1)= equation:

Simplifying
2p(p + -1)(p + 1) = 0

Reorder the terms:
2p(-1 + p)(p + 1) = 0

Reorder the terms:
2p(-1 + p)(1 + p) = 0

Multiply (-1 + p) * (1 + p)
2p(-1(1 + p) + p(1 + p)) = 0
2p((1 * -1 + p * -1) + p(1 + p)) = 0
2p((-1 + -1p) + p(1 + p)) = 0
2p(-1 + -1p + (1 * p + p * p)) = 0
2p(-1 + -1p + (1p + p2)) = 0

Combine like terms: -1p + 1p = 0
2p(-1 + 0 + p2) = 0
2p(-1 + p2) = 0
(-1 * 2p + p2 * 2p) = 0
(-2p + 2p3) = 0

Solving
-2p + 2p3 = 0

Solving for variable 'p'.

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

Factor a difference between two squares.
2p((1 + p)(-1 + p)) = 0

Ignore the factor 2.
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 '(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
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, -1, 1}