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Simplifying x + (x * x) = 1806 Multiply x * x x + (x2) = 1806 x + x2 = 1806 Solving x + x2 = 1806 Solving for variable 'x'. Reorder the terms: -1806 + x + x2 = 1806 + -1806 Combine like terms: 1806 + -1806 = 0 -1806 + x + x2 = 0 Factor a trinomial. (-43 + -1x)(42 + -1x) = 0Subproblem 1
Set the factor '(-43 + -1x)' equal to zero and attempt to solve: Simplifying -43 + -1x = 0 Solving -43 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -1x = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -1x = 0 + 43 -1x = 0 + 43 Combine like terms: 0 + 43 = 43 -1x = 43 Divide each side by '-1'. x = -43 Simplifying x = -43Subproblem 2
Set the factor '(42 + -1x)' equal to zero and attempt to solve: Simplifying 42 + -1x = 0 Solving 42 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -1x = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = 0 + -42 -1x = 0 + -42 Combine like terms: 0 + -42 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42Solution
x = {-43, 42}
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