x^2-80x+304=0

Solution for x^2-80x+304=0 equation:

Simplifying
x2 + -80x + 304 = 0

Reorder the terms:
304 + -80x + x2 = 0

Solving
304 + -80x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + -1x)(76 + -1x) = 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 '(76 + -1x)' equal to zero and attempt to solve:

Simplifying
76 + -1x = 0

Solving
76 + -1x = 0

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

Add '-76' to each side of the equation.
76 + -76 + -1x = 0 + -76

Combine like terms: 76 + -76 = 0
0 + -1x = 0 + -76
-1x = 0 + -76

Combine like terms: 0 + -76 = -76
-1x = -76

Divide each side by '-1'.
x = 76

Simplifying
x = 76
Solution
x = {4, 76}