3x^2+18x+11=2x+6

Solution for 3x^2+18x+11=2x+6 equation:

Simplifying
3x2 + 18x + 11 = 2x + 6

Reorder the terms:
11 + 18x + 3x2 = 2x + 6

Reorder the terms:
11 + 18x + 3x2 = 6 + 2x

Solving
11 + 18x + 3x2 = 6 + 2x

Solving for variable 'x'.

Reorder the terms:
11 + -6 + 18x + -2x + 3x2 = 6 + 2x + -6 + -2x

Combine like terms: 11 + -6 = 5
5 + 18x + -2x + 3x2 = 6 + 2x + -6 + -2x

Combine like terms: 18x + -2x = 16x
5 + 16x + 3x2 = 6 + 2x + -6 + -2x

Reorder the terms:
5 + 16x + 3x2 = 6 + -6 + 2x + -2x

Combine like terms: 6 + -6 = 0
5 + 16x + 3x2 = 0 + 2x + -2x
5 + 16x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
5 + 16x + 3x2 = 0

Factor a trinomial.
(5 + x)(1 + 3x) = 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 '(1 + 3x)' equal to zero and attempt to solve:

Simplifying
1 + 3x = 0

Solving
1 + 3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 0 + -1
3x = 0 + -1

Combine like terms: 0 + -1 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333
Solution
x = {-5, -0.3333333333}