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Simplifying 2x2 + -1x + 24 = 0 Reorder the terms: 24 + -1x + 2x2 = 0 Solving 24 + -1x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 12 + -0.5x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -0.5x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -0.5x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.5x + x2 = 0 + -12 -0.5x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -0.5x + x2 = -12 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 = -12 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -12 + 0.0625 Combine like terms: -12 + 0.0625 = -11.9375 0.0625 + -0.5x + x2 = -11.9375 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -11.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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