(2p+1)(6p+4)=

Solution for (2p+1)(6p+4)= equation:

Simplifying
(2p + 1)(6p + 4) = 0

Reorder the terms:
(1 + 2p)(6p + 4) = 0

Reorder the terms:
(1 + 2p)(4 + 6p) = 0

Multiply (1 + 2p) * (4 + 6p)
(1(4 + 6p) + 2p * (4 + 6p)) = 0
((4 * 1 + 6p * 1) + 2p * (4 + 6p)) = 0
((4 + 6p) + 2p * (4 + 6p)) = 0
(4 + 6p + (4 * 2p + 6p * 2p)) = 0
(4 + 6p + (8p + 12p2)) = 0

Combine like terms: 6p + 8p = 14p
(4 + 14p + 12p2) = 0

Solving
4 + 14p + 12p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 7p + 6p2) = 0

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

Ignore the factor 2.
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}