9x^2+137x+498=0

Solution for 9x^2+137x+498=0 equation:

Simplifying
9x2 + 137x + 498 = 0

Reorder the terms:
498 + 137x + 9x2 = 0

Solving
498 + 137x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(83 + 9x)(6 + x) = 0

Subproblem 1
Set the factor '(83 + 9x)' equal to zero and attempt to solve:

Simplifying
83 + 9x = 0

Solving
83 + 9x = 0

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

Add '-83' to each side of the equation.
83 + -83 + 9x = 0 + -83

Combine like terms: 83 + -83 = 0
0 + 9x = 0 + -83
9x = 0 + -83

Combine like terms: 0 + -83 = -83
9x = -83

Divide each side by '9'.
x = -9.222222222

Simplifying
x = -9.222222222
Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {-9.222222222, -6}