x^2-54x-232=0

Solution for x^2-54x-232=0 equation:

Simplifying
x2 + -54x + -232 = 0

Reorder the terms:
-232 + -54x + x2 = 0

Solving
-232 + -54x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(58 + -1x) = 0

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(58 + -1x)' equal to zero and attempt to solve:

Simplifying
58 + -1x = 0

Solving
58 + -1x = 0

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

Add '-58' to each side of the equation.
58 + -58 + -1x = 0 + -58

Combine like terms: 58 + -58 = 0
0 + -1x = 0 + -58
-1x = 0 + -58

Combine like terms: 0 + -58 = -58
-1x = -58

Divide each side by '-1'.
x = 58

Simplifying
x = 58
Solution
x = {-4, 58}