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Simplifying 2010x2 + -1x + -2011 = 0 Reorder the terms: -2011 + -1x + 2010x2 = 0 Solving -2011 + -1x + 2010x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(2011 + -2010x) = 0Subproblem 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 = -1Subproblem 2
Set the factor '(2011 + -2010x)' equal to zero and attempt to solve: Simplifying 2011 + -2010x = 0 Solving 2011 + -2010x = 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 + -2010x = 0 + -2011 Combine like terms: 2011 + -2011 = 0 0 + -2010x = 0 + -2011 -2010x = 0 + -2011 Combine like terms: 0 + -2011 = -2011 -2010x = -2011 Divide each side by '-2010'. x = 1.000497512 Simplifying x = 1.000497512Solution
x = {-1, 1.000497512}
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