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Simplifying 0.5x2 + -0.5x + 6 = 0 Reorder the terms: 6 + -0.5x + 0.5x2 = 0 Solving 6 + -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'. 12 + -1x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -1x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -1x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x + x2 = 0 + -12 -1x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -1x + x2 = -12 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 = -12 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + -1x + x2 = -11.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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