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Simplifying x2 + x = 2162 Reorder the terms: x + x2 = 2162 Solving x + x2 = 2162 Solving for variable 'x'. Reorder the terms: -2162 + x + x2 = 2162 + -2162 Combine like terms: 2162 + -2162 = 0 -2162 + x + x2 = 0 Factor a trinomial. (-47 + -1x)(46 + -1x) = 0Subproblem 1
Set the factor '(-47 + -1x)' equal to zero and attempt to solve: Simplifying -47 + -1x = 0 Solving -47 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -1x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -1x = 0 + 47 -1x = 0 + 47 Combine like terms: 0 + 47 = 47 -1x = 47 Divide each side by '-1'. x = -47 Simplifying x = -47Subproblem 2
Set the factor '(46 + -1x)' equal to zero and attempt to solve: Simplifying 46 + -1x = 0 Solving 46 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + -1x = 0 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = 0 + -46 -1x = 0 + -46 Combine like terms: 0 + -46 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46Solution
x = {-47, 46}
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