3w^2-11w-20=0

Solution for 3w^2-11w-20=0 equation:

Simplifying
3w2 + -11w + -20 = 0

Reorder the terms:
-20 + -11w + 3w2 = 0

Solving
-20 + -11w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-4 + -3w)(5 + -1w) = 0

Subproblem 1
Set the factor '(-4 + -3w)' equal to zero and attempt to solve:

Simplifying
-4 + -3w = 0

Solving
-4 + -3w = 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 + -3w = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 0 + 4
-3w = 0 + 4

Combine like terms: 0 + 4 = 4
-3w = 4

Divide each side by '-3'.
w = -1.333333333

Simplifying
w = -1.333333333
Subproblem 2
Set the factor '(5 + -1w)' equal to zero and attempt to solve:

Simplifying
5 + -1w = 0

Solving
5 + -1w = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w = 0 + -5
-1w = 0 + -5

Combine like terms: 0 + -5 = -5
-1w = -5

Divide each side by '-1'.
w = 5

Simplifying
w = 5
Solution
w = {-1.333333333, 5}