x^2-47x-1704=0

Solution for x^2-47x-1704=0 equation:

Simplifying
x2 + -47x + -1704 = 0

Reorder the terms:
-1704 + -47x + x2 = 0

Solving
-1704 + -47x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-24 + -1x)(71 + -1x) = 0

Subproblem 1
Set the factor '(-24 + -1x)' equal to zero and attempt to solve:

Simplifying
-24 + -1x = 0

Solving
-24 + -1x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -1x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = 0 + 24
-1x = 0 + 24

Combine like terms: 0 + 24 = 24
-1x = 24

Divide each side by '-1'.
x = -24

Simplifying
x = -24
Subproblem 2
Set the factor '(71 + -1x)' equal to zero and attempt to solve:

Simplifying
71 + -1x = 0

Solving
71 + -1x = 0

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

Add '-71' to each side of the equation.
71 + -71 + -1x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -1x = 0 + -71
-1x = 0 + -71

Combine like terms: 0 + -71 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71
Solution
x = {-24, 71}