2p(3p+4)=

Solution for 2p(3p+4)= equation:

Simplifying
2p(3p + 4) = 0

Reorder the terms:
2p(4 + 3p) = 0
(4 * 2p + 3p * 2p) = 0
(8p + 6p2) = 0

Solving
8p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2p'.
2p(4 + 3p) = 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 '(4 + 3p)' equal to zero and attempt to solve:

Simplifying
4 + 3p = 0

Solving
4 + 3p = 0

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

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

Combine like terms: 4 + -4 = 0
0 + 3p = 0 + -4
3p = 0 + -4

Combine like terms: 0 + -4 = -4
3p = -4

Divide each side by '3'.
p = -1.333333333

Simplifying
p = -1.333333333
Solution
p = {0, -1.333333333}