x^2-2011x+2010=0

Solution for x^2-2011x+2010=0 equation:

Simplifying
x2 + -2011x + 2010 = 0

Reorder the terms:
2010 + -2011x + x2 = 0

Solving
2010 + -2011x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(2010 + -1x) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Subproblem 2
Set the factor '(2010 + -1x)' equal to zero and attempt to solve:

Simplifying
2010 + -1x = 0

Solving
2010 + -1x = 0

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

Add '-2010' to each side of the equation.
2010 + -2010 + -1x = 0 + -2010

Combine like terms: 2010 + -2010 = 0
0 + -1x = 0 + -2010
-1x = 0 + -2010

Combine like terms: 0 + -2010 = -2010
-1x = -2010

Divide each side by '-1'.
x = 2010

Simplifying
x = 2010
Solution
x = {1, 2010}