11x^2+24x+4=0

Solution for 11x^2+24x+4=0 equation:

Simplifying
11x2 + 24x + 4 = 0

Reorder the terms:
4 + 24x + 11x2 = 0

Solving
4 + 24x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x)(2 + 11x) = 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 '(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 = {-2, -0.1818181818}