11x^2+59x+20=

Solution for 11x^2+59x+20= equation:

Simplifying
11x2 + 59x + 20 = 0

Reorder the terms:
20 + 59x + 11x2 = 0

Solving
20 + 59x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + x)(4 + 11x) = 0

Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

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

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(4 + 11x)' equal to zero and attempt to solve:

Simplifying
4 + 11x = 0

Solving
4 + 11x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 11x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 0 + -4
11x = 0 + -4

Combine like terms: 0 + -4 = -4
11x = -4

Divide each side by '11'.
x = -0.3636363636

Simplifying
x = -0.3636363636
Solution
x = {-5, -0.3636363636}