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Simplifying 0 = x2 + -21x + -46 Reorder the terms: 0 = -46 + -21x + x2 Solving 0 = -46 + -21x + x2 Solving for variable 'x'. Combine like terms: 0 + 46 = 46 46 + 21x + -1x2 = -46 + -21x + x2 + 46 + 21x + -1x2 Reorder the terms: 46 + 21x + -1x2 = -46 + 46 + -21x + 21x + x2 + -1x2 Combine like terms: -46 + 46 = 0 46 + 21x + -1x2 = 0 + -21x + 21x + x2 + -1x2 46 + 21x + -1x2 = -21x + 21x + x2 + -1x2 Combine like terms: -21x + 21x = 0 46 + 21x + -1x2 = 0 + x2 + -1x2 46 + 21x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 46 + 21x + -1x2 = 0 Factor a trinomial. (23 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(23 + -1x)' equal to zero and attempt to solve: Simplifying 23 + -1x = 0 Solving 23 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 0 + -23 -1x = 0 + -23 Combine like terms: 0 + -23 = -23 -1x = -23 Divide each side by '-1'. x = 23 Simplifying x = 23Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {23, -2}
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