8x^2-31x-355=0

Solution for 8x^2-31x-355=0 equation:

Simplifying
8x2 + -31x + -355 = 0

Reorder the terms:
-355 + -31x + 8x2 = 0

Solving
-355 + -31x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(71 + -8x) = 0

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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(71 + -8x)' equal to zero and attempt to solve:

Simplifying
71 + -8x = 0

Solving
71 + -8x = 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 + -8x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -8x = 0 + -71
-8x = 0 + -71

Combine like terms: 0 + -71 = -71
-8x = -71

Divide each side by '-8'.
x = 8.875

Simplifying
x = 8.875
Solution
x = {-5, 8.875}