9x^2+221x+1356=0

Solution for 9x^2+221x+1356=0 equation:

Simplifying
9x2 + 221x + 1356 = 0

Reorder the terms:
1356 + 221x + 9x2 = 0

Solving
1356 + 221x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(113 + 9x)(12 + x) = 0

Subproblem 1
Set the factor '(113 + 9x)' equal to zero and attempt to solve:

Simplifying
113 + 9x = 0

Solving
113 + 9x = 0

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

Add '-113' to each side of the equation.
113 + -113 + 9x = 0 + -113

Combine like terms: 113 + -113 = 0
0 + 9x = 0 + -113
9x = 0 + -113

Combine like terms: 0 + -113 = -113
9x = -113

Divide each side by '9'.
x = -12.55555556

Simplifying
x = -12.55555556
Subproblem 2
Set the factor '(12 + x)' equal to zero and attempt to solve:

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {-12.55555556, -12}