x^2+18x-1944=0

Solution for x^2+18x-1944=0 equation:

Simplifying
x2 + 18x + -1944 = 0

Reorder the terms:
-1944 + 18x + x2 = 0

Solving
-1944 + 18x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-54 + -1x)(36 + -1x) = 0

Subproblem 1
Set the factor '(-54 + -1x)' equal to zero and attempt to solve:

Simplifying
-54 + -1x = 0

Solving
-54 + -1x = 0

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

Add '54' to each side of the equation.
-54 + 54 + -1x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -1x = 0 + 54
-1x = 0 + 54

Combine like terms: 0 + 54 = 54
-1x = 54

Divide each side by '-1'.
x = -54

Simplifying
x = -54
Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve:

Simplifying
36 + -1x = 0

Solving
36 + -1x = 0

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

Add '-36' to each side of the equation.
36 + -36 + -1x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1x = 0 + -36
-1x = 0 + -36

Combine like terms: 0 + -36 = -36
-1x = -36

Divide each side by '-1'.
x = 36

Simplifying
x = 36
Solution
x = {-54, 36}