2x^2+18x-1944=0

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

Simplifying
2x2 + 18x + -1944 = 0

Reorder the terms:
-1944 + 18x + 2x2 = 0

Solving
-1944 + 18x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-972 + 9x + x2) = 0

Factor a trinomial.
2((-36 + -1x)(27 + -1x)) = 0

Ignore the factor 2.
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 '(27 + -1x)' equal to zero and attempt to solve:

Simplifying
27 + -1x = 0

Solving
27 + -1x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -1x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 0 + -27
-1x = 0 + -27

Combine like terms: 0 + -27 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27
Solution
x = {-36, 27}