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Simplifying x2 + -2013x = 2014 Reorder the terms: -2013x + x2 = 2014 Solving -2013x + x2 = 2014 Solving for variable 'x'. Reorder the terms: -2014 + -2013x + x2 = 2014 + -2014 Combine like terms: 2014 + -2014 = 0 -2014 + -2013x + x2 = 0 Factor a trinomial. (-1 + -1x)(2014 + -1x) = 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 '(2014 + -1x)' equal to zero and attempt to solve: Simplifying 2014 + -1x = 0 Solving 2014 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2014' to each side of the equation. 2014 + -2014 + -1x = 0 + -2014 Combine like terms: 2014 + -2014 = 0 0 + -1x = 0 + -2014 -1x = 0 + -2014 Combine like terms: 0 + -2014 = -2014 -1x = -2014 Divide each side by '-1'. x = 2014 Simplifying x = 2014Solution
x = {-1, 2014}
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