9x^2-37x-410=0

Solution for 9x^2-37x-410=0 equation:

Simplifying
9x2 + -37x + -410 = 0

Reorder the terms:
-410 + -37x + 9x2 = 0

Solving
-410 + -37x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(82 + -9x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

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