8x^2-81x+171=0

Solution for 8x^2-81x+171=0 equation:

Simplifying
8x2 + -81x + 171 = 0

Reorder the terms:
171 + -81x + 8x2 = 0

Solving
171 + -81x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(57 + -8x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(57 + -8x)' equal to zero and attempt to solve:

Simplifying
57 + -8x = 0

Solving
57 + -8x = 0

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

Add '-57' to each side of the equation.
57 + -57 + -8x = 0 + -57

Combine like terms: 57 + -57 = 0
0 + -8x = 0 + -57
-8x = 0 + -57

Combine like terms: 0 + -57 = -57
-8x = -57

Divide each side by '-8'.
x = 7.125

Simplifying
x = 7.125
Solution
x = {3, 7.125}