x^2-2010x-2011=0

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


Simplifying
x2 + -2010x + -2011 = 0

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

Solving
-2011 + -2010x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -1x)(2011 + -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 '(2011 + -1x)' equal to zero and attempt to solve: Simplifying 2011 + -1x = 0 Solving 2011 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2011' to each side of the equation. 2011 + -2011 + -1x = 0 + -2011 Combine like terms: 2011 + -2011 = 0 0 + -1x = 0 + -2011 -1x = 0 + -2011 Combine like terms: 0 + -2011 = -2011 -1x = -2011 Divide each side by '-1'. x = 2011 Simplifying x = 2011

Solution

x = {-1, 2011}

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