x^2-9x=9880

Solution for x^2-9x=9880 equation:

Simplifying
x2 + -9x = 9880

Reorder the terms:
-9x + x2 = 9880

Solving
-9x + x2 = 9880

Solving for variable 'x'.

Reorder the terms:
-9880 + -9x + x2 = 9880 + -9880

Combine like terms: 9880 + -9880 = 0
-9880 + -9x + x2 = 0

Factor a trinomial.
(-95 + -1x)(104 + -1x) = 0

Subproblem 1
Set the factor '(-95 + -1x)' equal to zero and attempt to solve:

Simplifying
-95 + -1x = 0

Solving
-95 + -1x = 0

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

Add '95' to each side of the equation.
-95 + 95 + -1x = 0 + 95

Combine like terms: -95 + 95 = 0
0 + -1x = 0 + 95
-1x = 0 + 95

Combine like terms: 0 + 95 = 95
-1x = 95

Divide each side by '-1'.
x = -95

Simplifying
x = -95
Subproblem 2
Set the factor '(104 + -1x)' equal to zero and attempt to solve:

Simplifying
104 + -1x = 0

Solving
104 + -1x = 0

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

Add '-104' to each side of the equation.
104 + -104 + -1x = 0 + -104

Combine like terms: 104 + -104 = 0
0 + -1x = 0 + -104
-1x = 0 + -104

Combine like terms: 0 + -104 = -104
-1x = -104

Divide each side by '-1'.
x = 104

Simplifying
x = 104
Solution
x = {-95, 104}