x^2-10x-9975=0

Solution for x^2-10x-9975=0 equation:

Simplifying
x2 + -10x + -9975 = 0

Reorder the terms:
-9975 + -10x + x2 = 0

Solving
-9975 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-95 + -1x)(105 + -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 '(105 + -1x)' equal to zero and attempt to solve:

Simplifying
105 + -1x = 0

Solving
105 + -1x = 0

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

Add '-105' to each side of the equation.
105 + -105 + -1x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -1x = 0 + -105
-1x = 0 + -105

Combine like terms: 0 + -105 = -105
-1x = -105

Divide each side by '-1'.
x = 105

Simplifying
x = 105
Solution
x = {-95, 105}