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Simplifying 0.1x2 + -54x + 21964 = 0 Reorder the terms: 21964 + -54x + 0.1x2 = 0 Solving 21964 + -54x + 0.1x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.1 the coefficient of the squared term: Divide each side by '0.1'. 219640 + -540x + x2 = 0 Move the constant term to the right: Add '-219640' to each side of the equation. 219640 + -540x + -219640 + x2 = 0 + -219640 Reorder the terms: 219640 + -219640 + -540x + x2 = 0 + -219640 Combine like terms: 219640 + -219640 = 0 0 + -540x + x2 = 0 + -219640 -540x + x2 = 0 + -219640 Combine like terms: 0 + -219640 = -219640 -540x + x2 = -219640 The x term is -540x. Take half its coefficient (-270). Square it (72900) and add it to both sides. Add '72900' to each side of the equation. -540x + 72900 + x2 = -219640 + 72900 Reorder the terms: 72900 + -540x + x2 = -219640 + 72900 Combine like terms: -219640 + 72900 = -146740 72900 + -540x + x2 = -146740 Factor a perfect square on the left side: (x + -270)(x + -270) = -146740 Can't calculate square root of the right side. The solution to this equation could not be determined.
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