-18x^2-6400x-396800=0

Solution for -18x^2-6400x-396800=0 equation:

Simplifying
-18x2 + -6400x + -396800 = 0

Reorder the terms:
-396800 + -6400x + -18x2 = 0

Solving
-396800 + -6400x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(198400 + 3200x + 9x2) = 0

Factor a trinomial.
-2((2480 + 9x)(80 + x)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(2480 + 9x)' equal to zero and attempt to solve:

Simplifying
2480 + 9x = 0

Solving
2480 + 9x = 0

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

Add '-2480' to each side of the equation.
2480 + -2480 + 9x = 0 + -2480

Combine like terms: 2480 + -2480 = 0
0 + 9x = 0 + -2480
9x = 0 + -2480

Combine like terms: 0 + -2480 = -2480
9x = -2480

Divide each side by '9'.
x = -275.5555556

Simplifying
x = -275.5555556
Subproblem 2
Set the factor '(80 + x)' equal to zero and attempt to solve:

Simplifying
80 + x = 0

Solving
80 + x = 0

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

Add '-80' to each side of the equation.
80 + -80 + x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + x = 0 + -80
x = 0 + -80

Combine like terms: 0 + -80 = -80
x = -80

Simplifying
x = -80
Solution
x = {-275.5555556, -80}