x^2-180x+6500=

Solution for x^2-180x+6500= equation:

Simplifying
x2 + -180x + 6500 = 0

Reorder the terms:
6500 + -180x + x2 = 0

Solving
6500 + -180x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(50 + -1x)(130 + -1x) = 0

Subproblem 1
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Subproblem 2
Set the factor '(130 + -1x)' equal to zero and attempt to solve:

Simplifying
130 + -1x = 0

Solving
130 + -1x = 0

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

Add '-130' to each side of the equation.
130 + -130 + -1x = 0 + -130

Combine like terms: 130 + -130 = 0
0 + -1x = 0 + -130
-1x = 0 + -130

Combine like terms: 0 + -130 = -130
-1x = -130

Divide each side by '-1'.
x = 130

Simplifying
x = 130
Solution
x = {50, 130}