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Simplifying 0.6x2 + -108x + 23841 = 0 Reorder the terms: 23841 + -108x + 0.6x2 = 0 Solving 23841 + -108x + 0.6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.6 the coefficient of the squared term: Divide each side by '0.6'. 39735 + -180x + x2 = 0 Move the constant term to the right: Add '-39735' to each side of the equation. 39735 + -180x + -39735 + x2 = 0 + -39735 Reorder the terms: 39735 + -39735 + -180x + x2 = 0 + -39735 Combine like terms: 39735 + -39735 = 0 0 + -180x + x2 = 0 + -39735 -180x + x2 = 0 + -39735 Combine like terms: 0 + -39735 = -39735 -180x + x2 = -39735 The x term is -180x. Take half its coefficient (-90). Square it (8100) and add it to both sides. Add '8100' to each side of the equation. -180x + 8100 + x2 = -39735 + 8100 Reorder the terms: 8100 + -180x + x2 = -39735 + 8100 Combine like terms: -39735 + 8100 = -31635 8100 + -180x + x2 = -31635 Factor a perfect square on the left side: (x + -90)(x + -90) = -31635 Can't calculate square root of the right side. The solution to this equation could not be determined.
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