(x^2)-76x+355=0

Solution for (x^2)-76x+355=0 equation:

Simplifying
(x2) + -76x + 355 = 0
x2 + -76x + 355 = 0

Reorder the terms:
355 + -76x + x2 = 0

Solving
355 + -76x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -1x)(71 + -1x) = 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 + -1x)' equal to zero and attempt to solve:

Simplifying
71 + -1x = 0

Solving
71 + -1x = 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 + -1x = 0 + -71

Combine like terms: 71 + -71 = 0
0 + -1x = 0 + -71
-1x = 0 + -71

Combine like terms: 0 + -71 = -71
-1x = -71

Divide each side by '-1'.
x = 71

Simplifying
x = 71
Solution
x = {5, 71}