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Simplifying 0.5x + -1.3125 = x2 Reorder the terms: -1.3125 + 0.5x = x2 Solving -1.3125 + 0.5x = x2 Solving for variable 'x'. Combine like terms: x2 + -1x2 = 0 -1.3125 + 0.5x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 1.3125 + -0.5x + x2 = 0 Move the constant term to the right: Add '-1.3125' to each side of the equation. 1.3125 + -0.5x + -1.3125 + x2 = 0 + -1.3125 Reorder the terms: 1.3125 + -1.3125 + -0.5x + x2 = 0 + -1.3125 Combine like terms: 1.3125 + -1.3125 = 0.0000 0.0000 + -0.5x + x2 = 0 + -1.3125 -0.5x + x2 = 0 + -1.3125 Combine like terms: 0 + -1.3125 = -1.3125 -0.5x + x2 = -1.3125 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 = -1.3125 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -1.3125 + 0.0625 Combine like terms: -1.3125 + 0.0625 = -1.25 0.0625 + -0.5x + x2 = -1.25 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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