22x^2+47x+6=0

Solution for 22x^2+47x+6=0 equation:

Simplifying
22x2 + 47x + 6 = 0

Reorder the terms:
6 + 47x + 22x2 = 0

Solving
6 + 47x + 22x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x)(3 + 22x) = 0

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Subproblem 2
Set the factor '(3 + 22x)' equal to zero and attempt to solve:

Simplifying
3 + 22x = 0

Solving
3 + 22x = 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 + 22x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 22x = 0 + -3
22x = 0 + -3

Combine like terms: 0 + -3 = -3
22x = -3

Divide each side by '22'.
x = -0.1363636364

Simplifying
x = -0.1363636364
Solution
x = {-2, -0.1363636364}