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Simplifying 0.5x2 + -210x + 38136 = 0 Reorder the terms: 38136 + -210x + 0.5x2 = 0 Solving 38136 + -210x + 0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 76272 + -420x + x2 = 0 Move the constant term to the right: Add '-76272' to each side of the equation. 76272 + -420x + -76272 + x2 = 0 + -76272 Reorder the terms: 76272 + -76272 + -420x + x2 = 0 + -76272 Combine like terms: 76272 + -76272 = 0 0 + -420x + x2 = 0 + -76272 -420x + x2 = 0 + -76272 Combine like terms: 0 + -76272 = -76272 -420x + x2 = -76272 The x term is -420x. Take half its coefficient (-210). Square it (44100) and add it to both sides. Add '44100' to each side of the equation. -420x + 44100 + x2 = -76272 + 44100 Reorder the terms: 44100 + -420x + x2 = -76272 + 44100 Combine like terms: -76272 + 44100 = -32172 44100 + -420x + x2 = -32172 Factor a perfect square on the left side: (x + -210)(x + -210) = -32172 Can't calculate square root of the right side. The solution to this equation could not be determined.
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