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.
(-97 + -1x)(83 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-97, 83}