x^2-14x-8051=0

Solution for x^2-14x-8051=0 equation:

Simplifying
x2 + -14x + -8051 = 0

Reorder the terms:
-8051 + -14x + x2 = 0

Solving
-8051 + -14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-83 + -1x)(97 + -1x) = 0

Subproblem 1
Set the factor '(-83 + -1x)' equal to zero and attempt to solve:

Simplifying
-83 + -1x = 0

Solving
-83 + -1x = 0

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

Add '83' to each side of the equation.
-83 + 83 + -1x = 0 + 83

Combine like terms: -83 + 83 = 0
0 + -1x = 0 + 83
-1x = 0 + 83

Combine like terms: 0 + 83 = 83
-1x = 83

Divide each side by '-1'.
x = -83

Simplifying
x = -83
Subproblem 2
Set the factor '(97 + -1x)' equal to zero and attempt to solve:

Simplifying
97 + -1x = 0

Solving
97 + -1x = 0

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

Add '-97' to each side of the equation.
97 + -97 + -1x = 0 + -97

Combine like terms: 97 + -97 = 0
0 + -1x = 0 + -97
-1x = 0 + -97

Combine like terms: 0 + -97 = -97
-1x = -97

Divide each side by '-1'.
x = 97

Simplifying
x = 97
Solution
x = {-83, 97}