x^2-10x-6375=0

Solution for x^2-10x-6375=0 equation:

Simplifying
x2 + -10x + -6375 = 0

Reorder the terms:
-6375 + -10x + x2 = 0

Solving
-6375 + -10x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-75 + -1x)(85 + -1x) = 0

Subproblem 1
Set the factor '(-75 + -1x)' equal to zero and attempt to solve:

Simplifying
-75 + -1x = 0

Solving
-75 + -1x = 0

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

Add '75' to each side of the equation.
-75 + 75 + -1x = 0 + 75

Combine like terms: -75 + 75 = 0
0 + -1x = 0 + 75
-1x = 0 + 75

Combine like terms: 0 + 75 = 75
-1x = 75

Divide each side by '-1'.
x = -75

Simplifying
x = -75
Subproblem 2
Set the factor '(85 + -1x)' equal to zero and attempt to solve:

Simplifying
85 + -1x = 0

Solving
85 + -1x = 0

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

Add '-85' to each side of the equation.
85 + -85 + -1x = 0 + -85

Combine like terms: 85 + -85 = 0
0 + -1x = 0 + -85
-1x = 0 + -85

Combine like terms: 0 + -85 = -85
-1x = -85

Divide each side by '-1'.
x = 85

Simplifying
x = 85
Solution
x = {-75, 85}