3p^2+22p+40=0

Solution for 3p^2+22p+40=0 equation:

Simplifying
3p2 + 22p + 40 = 0

Reorder the terms:
40 + 22p + 3p2 = 0

Solving
40 + 22p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + p)(10 + 3p) = 0

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

Simplifying
4 + p = 0

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

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

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

Simplifying
p = -4
Subproblem 2
Set the factor '(10 + 3p)' equal to zero and attempt to solve:

Simplifying
10 + 3p = 0

Solving
10 + 3p = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3p = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3p = 0 + -10
3p = 0 + -10

Combine like terms: 0 + -10 = -10
3p = -10

Divide each side by '3'.
p = -3.333333333

Simplifying
p = -3.333333333
Solution
p = {-4, -3.333333333}