(3p+2)(2p+1)=

Solution for (3p+2)(2p+1)= equation:

Simplifying
(3p + 2)(2p + 1) = 0

Reorder the terms:
(2 + 3p)(2p + 1) = 0

Reorder the terms:
(2 + 3p)(1 + 2p) = 0

Multiply (2 + 3p) * (1 + 2p)
(2(1 + 2p) + 3p * (1 + 2p)) = 0
((1 * 2 + 2p * 2) + 3p * (1 + 2p)) = 0
((2 + 4p) + 3p * (1 + 2p)) = 0
(2 + 4p + (1 * 3p + 2p * 3p)) = 0
(2 + 4p + (3p + 6p2)) = 0

Combine like terms: 4p + 3p = 7p
(2 + 7p + 6p2) = 0

Solving
2 + 7p + 6p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + 3p)(1 + 2p) = 0

Subproblem 1
Set the factor '(2 + 3p)' equal to zero and attempt to solve:

Simplifying
2 + 3p = 0

Solving
2 + 3p = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3p = 0 + -2
3p = 0 + -2

Combine like terms: 0 + -2 = -2
3p = -2

Divide each side by '3'.
p = -0.6666666667

Simplifying
p = -0.6666666667
Subproblem 2
Set the factor '(1 + 2p)' equal to zero and attempt to solve:

Simplifying
1 + 2p = 0

Solving
1 + 2p = 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 + 2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2p = 0 + -1
2p = 0 + -1

Combine like terms: 0 + -1 = -1
2p = -1

Divide each side by '2'.
p = -0.5

Simplifying
p = -0.5
Solution
p = {-0.6666666667, -0.5}