x^2-24x-5040=0

Solution for x^2-24x-5040=0 equation:

Simplifying
x2 + -24x + -5040 = 0

Reorder the terms:
-5040 + -24x + x2 = 0

Solving
-5040 + -24x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-60 + -1x)(84 + -1x) = 0

Subproblem 1
Set the factor '(-60 + -1x)' equal to zero and attempt to solve:

Simplifying
-60 + -1x = 0

Solving
-60 + -1x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -1x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -1x = 0 + 60
-1x = 0 + 60

Combine like terms: 0 + 60 = 60
-1x = 60

Divide each side by '-1'.
x = -60

Simplifying
x = -60
Subproblem 2
Set the factor '(84 + -1x)' equal to zero and attempt to solve:

Simplifying
84 + -1x = 0

Solving
84 + -1x = 0

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

Add '-84' to each side of the equation.
84 + -84 + -1x = 0 + -84

Combine like terms: 84 + -84 = 0
0 + -1x = 0 + -84
-1x = 0 + -84

Combine like terms: 0 + -84 = -84
-1x = -84

Divide each side by '-1'.
x = 84

Simplifying
x = 84
Solution
x = {-60, 84}