22x^2+37x+6=

Solution for 22x^2+37x+6= equation:

Simplifying
22x2 + 37x + 6 = 0

Reorder the terms:
6 + 37x + 22x2 = 0

Solving
6 + 37x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 2x)(2 + 11x) = 0

Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Subproblem 2
Set the factor '(2 + 11x)' equal to zero and attempt to solve:

Simplifying
2 + 11x = 0

Solving
2 + 11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11x = 0 + -2
11x = 0 + -2

Combine like terms: 0 + -2 = -2
11x = -2

Divide each side by '11'.
x = -0.1818181818

Simplifying
x = -0.1818181818
Solution
x = {-1.5, -0.1818181818}