(p+4)(3p-1)=

Solution for (p+4)(3p-1)= equation:

Simplifying
(p + 4)(3p + -1) = 0

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

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

Multiply (4 + p) * (-1 + 3p)
(4(-1 + 3p) + p(-1 + 3p)) = 0
((-1 * 4 + 3p * 4) + p(-1 + 3p)) = 0
((-4 + 12p) + p(-1 + 3p)) = 0
(-4 + 12p + (-1 * p + 3p * p)) = 0
(-4 + 12p + (-1p + 3p2)) = 0

Combine like terms: 12p + -1p = 11p
(-4 + 11p + 3p2) = 0

Solving
-4 + 11p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p)(1 + -3p) = 0

Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 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 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
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 = {-4, 0.3333333333}