9x^2+220x-8000=0

Solution for 9x^2+220x-8000=0 equation:

Simplifying
9x2 + 220x + -8000 = 0

Reorder the terms:
-8000 + 220x + 9x2 = 0

Solving
-8000 + 220x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-400 + -9x)(20 + -1x) = 0

Subproblem 1
Set the factor '(-400 + -9x)' equal to zero and attempt to solve:

Simplifying
-400 + -9x = 0

Solving
-400 + -9x = 0

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

Add '400' to each side of the equation.
-400 + 400 + -9x = 0 + 400

Combine like terms: -400 + 400 = 0
0 + -9x = 0 + 400
-9x = 0 + 400

Combine like terms: 0 + 400 = 400
-9x = 400

Divide each side by '-9'.
x = -44.44444444

Simplifying
x = -44.44444444
Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Solution
x = {-44.44444444, 20}