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.
(-36 + -1x)(54 + -1x) = 0

Subproblem 1
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
Subproblem 2
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
Solution
x = {-36, 54}