8x^2-107x+354=0

Solution for 8x^2-107x+354=0 equation:

Simplifying
8x2 + -107x + 354 = 0

Reorder the terms:
354 + -107x + 8x2 = 0

Solving
354 + -107x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(6 + -1x)(59 + -8x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(59 + -8x)' equal to zero and attempt to solve:

Simplifying
59 + -8x = 0

Solving
59 + -8x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -8x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -8x = 0 + -59
-8x = 0 + -59

Combine like terms: 0 + -59 = -59
-8x = -59

Divide each side by '-8'.
x = 7.375

Simplifying
x = 7.375
Solution
x = {6, 7.375}