9X^2-88X-240=0

Solution for 9X^2-88X-240=0 equation:

Simplifying
9X2 + -88X + -240 = 0

Reorder the terms:
-240 + -88X + 9X2 = 0

Solving
-240 + -88X + 9X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-20 + -9X)(12 + -1X) = 0

Subproblem 1
Set the factor '(-20 + -9X)' equal to zero and attempt to solve:

Simplifying
-20 + -9X = 0

Solving
-20 + -9X = 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 + -9X = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -9X = 0 + 20
-9X = 0 + 20

Combine like terms: 0 + 20 = 20
-9X = 20

Divide each side by '-9'.
X = -2.222222222

Simplifying
X = -2.222222222
Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve:

Simplifying
12 + -1X = 0

Solving
12 + -1X = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1X = 0 + -12
-1X = 0 + -12

Combine like terms: 0 + -12 = -12
-1X = -12

Divide each side by '-1'.
X = 12

Simplifying
X = 12
Solution
X = {-2.222222222, 12}