0=11x^2+35x+6

Solution for 0=11x^2+35x+6 equation:

Simplifying
0 = 11x2 + 35x + 6

Reorder the terms:
0 = 6 + 35x + 11x2

Solving
0 = 6 + 35x + 11x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -35x + -11x2 = 6 + 35x + 11x2 + -6 + -35x + -11x2

Reorder the terms:
-6 + -35x + -11x2 = 6 + -6 + 35x + -35x + 11x2 + -11x2

Combine like terms: 6 + -6 = 0
-6 + -35x + -11x2 = 0 + 35x + -35x + 11x2 + -11x2
-6 + -35x + -11x2 = 35x + -35x + 11x2 + -11x2

Combine like terms: 35x + -35x = 0
-6 + -35x + -11x2 = 0 + 11x2 + -11x2
-6 + -35x + -11x2 = 11x2 + -11x2

Combine like terms: 11x2 + -11x2 = 0
-6 + -35x + -11x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 35x + 11x2) = 0

Factor a trinomial.
-1((3 + x)(2 + 11x)) = 0

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

Simplifying
3 + x = 0

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

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

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

Simplifying
x = -3
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 = {-3, -0.1818181818}