(x^2)-190x+9025=0

Solution for (x^2)-190x+9025=0 equation:

Simplifying
(x2) + -190x + 9025 = 0
x2 + -190x + 9025 = 0

Reorder the terms:
9025 + -190x + x2 = 0

Solving
9025 + -190x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(95 + -1x)(95 + -1x) = 0

Subproblem 1
Set the factor '(95 + -1x)' equal to zero and attempt to solve:

Simplifying
95 + -1x = 0

Solving
95 + -1x = 0

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

Add '-95' to each side of the equation.
95 + -95 + -1x = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -1x = 0 + -95
-1x = 0 + -95

Combine like terms: 0 + -95 = -95
-1x = -95

Divide each side by '-1'.
x = 95

Simplifying
x = 95
Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve:

Simplifying
95 + -1x = 0

Solving
95 + -1x = 0

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

Add '-95' to each side of the equation.
95 + -95 + -1x = 0 + -95

Combine like terms: 95 + -95 = 0
0 + -1x = 0 + -95
-1x = 0 + -95

Combine like terms: 0 + -95 = -95
-1x = -95

Divide each side by '-1'.
x = 95

Simplifying
x = 95
Solution
x = {95, 95}