x^2-37x-1728=0

Solution for x^2-37x-1728=0 equation:

Simplifying
x2 + -37x + -1728 = 0

Reorder the terms:
-1728 + -37x + x2 = 0

Solving
-1728 + -37x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-27 + -1x)(64 + -1x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(64 + -1x)' equal to zero and attempt to solve:

Simplifying
64 + -1x = 0

Solving
64 + -1x = 0

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

Add '-64' to each side of the equation.
64 + -64 + -1x = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -1x = 0 + -64
-1x = 0 + -64

Combine like terms: 0 + -64 = -64
-1x = -64

Divide each side by '-1'.
x = 64

Simplifying
x = 64
Solution
x = {-27, 64}