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Simplifying 0.5x2 + -60x + 3600 = 0 Reorder the terms: 3600 + -60x + 0.5x2 = 0 Solving 3600 + -60x + 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'. 7200 + -120x + x2 = 0 Move the constant term to the right: Add '-7200' to each side of the equation. 7200 + -120x + -7200 + x2 = 0 + -7200 Reorder the terms: 7200 + -7200 + -120x + x2 = 0 + -7200 Combine like terms: 7200 + -7200 = 0 0 + -120x + x2 = 0 + -7200 -120x + x2 = 0 + -7200 Combine like terms: 0 + -7200 = -7200 -120x + x2 = -7200 The x term is -120x. Take half its coefficient (-60). Square it (3600) and add it to both sides. Add '3600' to each side of the equation. -120x + 3600 + x2 = -7200 + 3600 Reorder the terms: 3600 + -120x + x2 = -7200 + 3600 Combine like terms: -7200 + 3600 = -3600 3600 + -120x + x2 = -3600 Factor a perfect square on the left side: (x + -60)(x + -60) = -3600 Can't calculate square root of the right side. The solution to this equation could not be determined.
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