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Simplifying 23x + -345x2 + -44 = 456456 + -5x Reorder the terms: -44 + 23x + -345x2 = 456456 + -5x Solving -44 + 23x + -345x2 = 456456 + -5x Solving for variable 'x'. Reorder the terms: -44 + -456456 + 23x + 5x + -345x2 = 456456 + -5x + -456456 + 5x Combine like terms: -44 + -456456 = -456500 -456500 + 23x + 5x + -345x2 = 456456 + -5x + -456456 + 5x Combine like terms: 23x + 5x = 28x -456500 + 28x + -345x2 = 456456 + -5x + -456456 + 5x Reorder the terms: -456500 + 28x + -345x2 = 456456 + -456456 + -5x + 5x Combine like terms: 456456 + -456456 = 0 -456500 + 28x + -345x2 = 0 + -5x + 5x -456500 + 28x + -345x2 = -5x + 5x Combine like terms: -5x + 5x = 0 -456500 + 28x + -345x2 = 0 Begin completing the square. Divide all terms by -345 the coefficient of the squared term: Divide each side by '-345'. 1323.188406 + -0.08115942029x + x2 = 0 Move the constant term to the right: Add '-1323.188406' to each side of the equation. 1323.188406 + -0.08115942029x + -1323.188406 + x2 = 0 + -1323.188406 Reorder the terms: 1323.188406 + -1323.188406 + -0.08115942029x + x2 = 0 + -1323.188406 Combine like terms: 1323.188406 + -1323.188406 = 0.000000 0.000000 + -0.08115942029x + x2 = 0 + -1323.188406 -0.08115942029x + x2 = 0 + -1323.188406 Combine like terms: 0 + -1323.188406 = -1323.188406 -0.08115942029x + x2 = -1323.188406 The x term is -0.08115942029x. Take half its coefficient (-0.04057971015). Square it (0.001646712876) and add it to both sides. Add '0.001646712876' to each side of the equation. -0.08115942029x + 0.001646712876 + x2 = -1323.188406 + 0.001646712876 Reorder the terms: 0.001646712876 + -0.08115942029x + x2 = -1323.188406 + 0.001646712876 Combine like terms: -1323.188406 + 0.001646712876 = -1323.186759287124 0.001646712876 + -0.08115942029x + x2 = -1323.186759287124 Factor a perfect square on the left side: (x + -0.04057971015)(x + -0.04057971015) = -1323.186759287124 Can't calculate square root of the right side. The solution to this equation could not be determined.
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