9x^2+28x+11=8

Solution for 9x^2+28x+11=8 equation:

Simplifying
9x2 + 28x + 11 = 8

Reorder the terms:
11 + 28x + 9x2 = 8

Solving
11 + 28x + 9x2 = 8

Solving for variable 'x'.

Reorder the terms:
11 + -8 + 28x + 9x2 = 8 + -8

Combine like terms: 11 + -8 = 3
3 + 28x + 9x2 = 8 + -8

Combine like terms: 8 + -8 = 0
3 + 28x + 9x2 = 0

Factor a trinomial.
(3 + x)(1 + 9x) = 0

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 '(1 + 9x)' equal to zero and attempt to solve:

Simplifying
1 + 9x = 0

Solving
1 + 9x = 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 + 9x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 0 + -1
9x = 0 + -1

Combine like terms: 0 + -1 = -1
9x = -1

Divide each side by '9'.
x = -0.1111111111

Simplifying
x = -0.1111111111
Solution
x = {-3, -0.1111111111}