8x^2-115x+332=0

Solution for 8x^2-115x+332=0 equation:

Simplifying
8x2 + -115x + 332 = 0

Reorder the terms:
332 + -115x + 8x2 = 0

Solving
332 + -115x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(83 + -8x) = 0

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(83 + -8x)' equal to zero and attempt to solve:

Simplifying
83 + -8x = 0

Solving
83 + -8x = 0

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

Add '-83' to each side of the equation.
83 + -83 + -8x = 0 + -83

Combine like terms: 83 + -83 = 0
0 + -8x = 0 + -83
-8x = 0 + -83

Combine like terms: 0 + -83 = -83
-8x = -83

Divide each side by '-8'.
x = 10.375

Simplifying
x = 10.375
Solution
x = {4, 10.375}