1x^2-24x-585=0

Solution for 1x^2-24x-585=0 equation:

Simplifying
1x2 + -24x + -585 = 0

Reorder the terms:
-585 + -24x + 1x2 = 0

Solving
-585 + -24x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -1x)(39 + -1x) = 0

Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve:

Simplifying
-15 + -1x = 0

Solving
-15 + -1x = 0

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

Add '15' to each side of the equation.
-15 + 15 + -1x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = 0 + 15
-1x = 0 + 15

Combine like terms: 0 + 15 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(39 + -1x)' equal to zero and attempt to solve:

Simplifying
39 + -1x = 0

Solving
39 + -1x = 0

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

Add '-39' to each side of the equation.
39 + -39 + -1x = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -1x = 0 + -39
-1x = 0 + -39

Combine like terms: 0 + -39 = -39
-1x = -39

Divide each side by '-1'.
x = 39

Simplifying
x = 39
Solution
x = {-15, 39}