9x^2+73x+110=0

Solution for 9x^2+73x+110=0 equation:

Simplifying
9x2 + 73x + 110 = 0

Reorder the terms:
110 + 73x + 9x2 = 0

Solving
110 + 73x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(55 + 9x)(2 + x) = 0

Subproblem 1
Set the factor '(55 + 9x)' equal to zero and attempt to solve:

Simplifying
55 + 9x = 0

Solving
55 + 9x = 0

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

Add '-55' to each side of the equation.
55 + -55 + 9x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + 9x = 0 + -55
9x = 0 + -55

Combine like terms: 0 + -55 = -55
9x = -55

Divide each side by '9'.
x = -6.111111111

Simplifying
x = -6.111111111
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-6.111111111, -2}