13x^2-24x-324=0

Solution for 13x^2-24x-324=0 equation:

Simplifying
13x2 + -24x + -324 = 0

Reorder the terms:
-324 + -24x + 13x2 = 0

Solving
-324 + -24x + 13x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-54 + -13x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-54 + -13x)' equal to zero and attempt to solve:

Simplifying
-54 + -13x = 0

Solving
-54 + -13x = 0

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

Add '54' to each side of the equation.
-54 + 54 + -13x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + -13x = 0 + 54
-13x = 0 + 54

Combine like terms: 0 + 54 = 54
-13x = 54

Divide each side by '-13'.
x = -4.153846154

Simplifying
x = -4.153846154
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-4.153846154, 6}