5x^2-393x-16568=0

Solution for 5x^2-393x-16568=0 equation:

Simplifying
5x2 + -393x + -16568 = 0

Reorder the terms:
-16568 + -393x + 5x2 = 0

Solving
-16568 + -393x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-152 + -5x)(109 + -1x) = 0

Subproblem 1
Set the factor '(-152 + -5x)' equal to zero and attempt to solve:

Simplifying
-152 + -5x = 0

Solving
-152 + -5x = 0

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

Add '152' to each side of the equation.
-152 + 152 + -5x = 0 + 152

Combine like terms: -152 + 152 = 0
0 + -5x = 0 + 152
-5x = 0 + 152

Combine like terms: 0 + 152 = 152
-5x = 152

Divide each side by '-5'.
x = -30.4

Simplifying
x = -30.4
Subproblem 2
Set the factor '(109 + -1x)' equal to zero and attempt to solve:

Simplifying
109 + -1x = 0

Solving
109 + -1x = 0

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

Add '-109' to each side of the equation.
109 + -109 + -1x = 0 + -109

Combine like terms: 109 + -109 = 0
0 + -1x = 0 + -109
-1x = 0 + -109

Combine like terms: 0 + -109 = -109
-1x = -109

Divide each side by '-1'.
x = 109

Simplifying
x = 109
Solution
x = {-30.4, 109}