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Simplifying -0.5x2 + x + -24 = 0 Reorder the terms: -24 + x + -0.5x2 = 0 Solving -24 + x + -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'. 48 + -2x + x2 = 0 Move the constant term to the right: Add '-48' to each side of the equation. 48 + -2x + -48 + x2 = 0 + -48 Reorder the terms: 48 + -48 + -2x + x2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -2x + x2 = 0 + -48 -2x + x2 = 0 + -48 Combine like terms: 0 + -48 = -48 -2x + x2 = -48 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 = -48 + 0.25 Reorder the terms: 0.25 + -2x + x2 = -48 + 0.25 Combine like terms: -48 + 0.25 = -47.75 0.25 + -2x + x2 = -47.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -47.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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