3w^2+22w+40=0

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

Simplifying
3w2 + 22w + 40 = 0

Reorder the terms:
40 + 22w + 3w2 = 0

Solving
40 + 22w + 3w2 = 0

Solving for variable 'w'.

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

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

Simplifying
4 + w = 0

Solving
4 + w = 0

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

Add '-4' to each side of the equation.
4 + -4 + w = 0 + -4

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

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

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

Simplifying
10 + 3w = 0

Solving
10 + 3w = 0

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

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

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

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

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

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