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Simplifying 0.5x2 + -0.5x + 12 = 0 Reorder the terms: 12 + -0.5x + 0.5x2 = 0 Solving 12 + -0.5x + 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'. 24 + -1x + x2 = 0 Move the constant term to the right: Add '-24' to each side of the equation. 24 + -1x + -24 + x2 = 0 + -24 Reorder the terms: 24 + -24 + -1x + x2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x + x2 = 0 + -24 -1x + x2 = 0 + -24 Combine like terms: 0 + -24 = -24 -1x + x2 = -24 The x term is -1x. 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. -1x + 0.25 + x2 = -24 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -24 + 0.25 Combine like terms: -24 + 0.25 = -23.75 0.25 + -1x + x2 = -23.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -23.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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