x^2+138x-864=0

Solution for x^2+138x-864=0 equation:

Simplifying
x2 + 138x + -864 = 0

Reorder the terms:
-864 + 138x + x2 = 0

Solving
-864 + 138x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-144 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-144 + -1x)' equal to zero and attempt to solve:

Simplifying
-144 + -1x = 0

Solving
-144 + -1x = 0

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

Add '144' to each side of the equation.
-144 + 144 + -1x = 0 + 144

Combine like terms: -144 + 144 = 0
0 + -1x = 0 + 144
-1x = 0 + 144

Combine like terms: 0 + 144 = 144
-1x = 144

Divide each side by '-1'.
x = -144

Simplifying
x = -144
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-144, 6}