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

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

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

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

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

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

Combine like terms: 3p + 2p = 5p
(1 + 5p + 6p2) = 0

Solving
1 + 5p + 6p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3p = 0 + -1
3p = 0 + -1

Combine like terms: 0 + -1 = -1
3p = -1

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {-0.5, -0.3333333333}