x^2-96x+1775=0

Solution for x^2-96x+1775=0 equation:

Simplifying
x2 + -96x + 1775 = 0

Reorder the terms:
1775 + -96x + x2 = 0

Solving
1775 + -96x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(25 + -1x)(71 + -1x) = 0

Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25
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 = {25, 71}