x^2+14x-851=0

Solution for x^2+14x-851=0 equation:

Simplifying
x2 + 14x + -851 = 0

Reorder the terms:
-851 + 14x + x2 = 0

Solving
-851 + 14x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-37 + -1x)(23 + -1x) = 0

Subproblem 1
Set the factor '(-37 + -1x)' equal to zero and attempt to solve:

Simplifying
-37 + -1x = 0

Solving
-37 + -1x = 0

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

Add '37' to each side of the equation.
-37 + 37 + -1x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + -1x = 0 + 37
-1x = 0 + 37

Combine like terms: 0 + 37 = 37
-1x = 37

Divide each side by '-1'.
x = -37

Simplifying
x = -37
Subproblem 2
Set the factor '(23 + -1x)' equal to zero and attempt to solve:

Simplifying
23 + -1x = 0

Solving
23 + -1x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 0 + -23
-1x = 0 + -23

Combine like terms: 0 + -23 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23
Solution
x = {-37, 23}