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Simplifying 17x2 + -180x + 486 = 0 Reorder the terms: 486 + -180x + 17x2 = 0 Solving 486 + -180x + 17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 17 the coefficient of the squared term: Divide each side by '17'. 28.58823529 + -10.58823529x + x2 = 0 Move the constant term to the right: Add '-28.58823529' to each side of the equation. 28.58823529 + -10.58823529x + -28.58823529 + x2 = 0 + -28.58823529 Reorder the terms: 28.58823529 + -28.58823529 + -10.58823529x + x2 = 0 + -28.58823529 Combine like terms: 28.58823529 + -28.58823529 = 0.00000000 0.00000000 + -10.58823529x + x2 = 0 + -28.58823529 -10.58823529x + x2 = 0 + -28.58823529 Combine like terms: 0 + -28.58823529 = -28.58823529 -10.58823529x + x2 = -28.58823529 The x term is -10.58823529x. Take half its coefficient (-5.294117645). Square it (28.02768164) and add it to both sides. Add '28.02768164' to each side of the equation. -10.58823529x + 28.02768164 + x2 = -28.58823529 + 28.02768164 Reorder the terms: 28.02768164 + -10.58823529x + x2 = -28.58823529 + 28.02768164 Combine like terms: -28.58823529 + 28.02768164 = -0.56055365 28.02768164 + -10.58823529x + x2 = -0.56055365 Factor a perfect square on the left side: (x + -5.294117645)(x + -5.294117645) = -0.56055365 Can't calculate square root of the right side. The solution to this equation could not be determined.
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