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Simplifying 0.2x2 + -0.1x = -1 Reorder the terms: -0.1x + 0.2x2 = -1 Solving -0.1x + 0.2x2 = -1 Solving for variable 'x'. Reorder the terms: 1 + -0.1x + 0.2x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -0.1x + 0.2x2 = 0 Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 5 + -0.5x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + -0.5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -0.5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -0.5x + x2 = 0 + -5 -0.5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -0.5x + x2 = -5 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -5 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -5 + 0.0625 Combine like terms: -5 + 0.0625 = -4.9375 0.0625 + -0.5x + x2 = -4.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -4.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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