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Simplifying x2 + 2016x + -2017 = 0 Reorder the terms: -2017 + 2016x + x2 = 0 Solving -2017 + 2016x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2017 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-2017 + -1x)' equal to zero and attempt to solve: Simplifying -2017 + -1x = 0 Solving -2017 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2017' to each side of the equation. -2017 + 2017 + -1x = 0 + 2017 Combine like terms: -2017 + 2017 = 0 0 + -1x = 0 + 2017 -1x = 0 + 2017 Combine like terms: 0 + 2017 = 2017 -1x = 2017 Divide each side by '-1'. x = -2017 Simplifying x = -2017Subproblem 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 = 1Solution
x = {-2017, 1}
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