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Simplifying 0.5x2 + x + -1 = -1.5 Reorder the terms: -1 + x + 0.5x2 = -1.5 Solving -1 + x + 0.5x2 = -1.5 Solving for variable 'x'. Reorder the terms: -1 + 1.5 + x + 0.5x2 = -1.5 + 1.5 Combine like terms: -1 + 1.5 = 0.5 0.5 + x + 0.5x2 = -1.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.5 + x + 0.5x2 = 0.0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 1 + 2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x + x2 = 0 + -1 2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 2x + x2 = -1 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 2x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + 2x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + 2x + x2 = -0.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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