9x^2+127x+410=0

Solution for 9x^2+127x+410=0 equation:

Simplifying
9x2 + 127x + 410 = 0

Reorder the terms:
410 + 127x + 9x2 = 0

Solving
410 + 127x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(82 + 9x)(5 + x) = 0

Subproblem 1
Set the factor '(82 + 9x)' equal to zero and attempt to solve:

Simplifying
82 + 9x = 0

Solving
82 + 9x = 0

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

Add '-82' to each side of the equation.
82 + -82 + 9x = 0 + -82

Combine like terms: 82 + -82 = 0
0 + 9x = 0 + -82
9x = 0 + -82

Combine like terms: 0 + -82 = -82
9x = -82

Divide each side by '9'.
x = -9.111111111

Simplifying
x = -9.111111111
Subproblem 2
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
Solution
x = {-9.111111111, -5}