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Simplifying 0.2x2 + -1.8x + 5.572 = 0 Reorder the terms: 5.572 + -1.8x + 0.2x2 = 0 Solving 5.572 + -1.8x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 27.86 + -9x + x2 = 0 Move the constant term to the right: Add '-27.86' to each side of the equation. 27.86 + -9x + -27.86 + x2 = 0 + -27.86 Reorder the terms: 27.86 + -27.86 + -9x + x2 = 0 + -27.86 Combine like terms: 27.86 + -27.86 = 0.00 0.00 + -9x + x2 = 0 + -27.86 -9x + x2 = 0 + -27.86 Combine like terms: 0 + -27.86 = -27.86 -9x + x2 = -27.86 The x term is -9x. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9x + 20.25 + x2 = -27.86 + 20.25 Reorder the terms: 20.25 + -9x + x2 = -27.86 + 20.25 Combine like terms: -27.86 + 20.25 = -7.61 20.25 + -9x + x2 = -7.61 Factor a perfect square on the left side: (x + -4.5)(x + -4.5) = -7.61 Can't calculate square root of the right side. The solution to this equation could not be determined.
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