36x^2-1044x+1944=0

Solution for 36x^2-1044x+1944=0 equation:

Simplifying
36x2 + -1044x + 1944 = 0

Reorder the terms:
1944 + -1044x + 36x2 = 0

Solving
1944 + -1044x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(54 + -29x + x2) = 0

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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
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 = {2, 27}