x^2+2005x-2006=0

Solution for x^2+2005x-2006=0 equation:

Simplifying
x2 + 2005x + -2006 = 0

Reorder the terms:
-2006 + 2005x + x2 = 0

Solving
-2006 + 2005x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2006 + -1x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-2006 + -1x)' equal to zero and attempt to solve:

Simplifying
-2006 + -1x = 0

Solving
-2006 + -1x = 0

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

Add '2006' to each side of the equation.
-2006 + 2006 + -1x = 0 + 2006

Combine like terms: -2006 + 2006 = 0
0 + -1x = 0 + 2006
-1x = 0 + 2006

Combine like terms: 0 + 2006 = 2006
-1x = 2006

Divide each side by '-1'.
x = -2006

Simplifying
x = -2006
Subproblem 2
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
Solution
x = {-2006, 1}