4p+2p(p+1)=

Solution for 4p+2p(p+1)= equation:

Simplifying
4p + 2p(p + 1) = 0

Reorder the terms:
4p + 2p(1 + p) = 0
4p + (1 * 2p + p * 2p) = 0
4p + (2p + 2p2) = 0

Combine like terms: 4p + 2p = 6p
6p + 2p2 = 0

Solving
6p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(3 + 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 '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

Solving
3 + p = 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 + p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + p = 0 + -3
p = 0 + -3

Combine like terms: 0 + -3 = -3
p = -3

Simplifying
p = -3
Solution
p = {0, -3}