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Simplifying 0.5x2 + -1.33x + 4 = 0 Reorder the terms: 4 + -1.33x + 0.5x2 = 0 Solving 4 + -1.33x + 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'. 8 + -2.66x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.66x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2.66x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.66x + x2 = 0 + -8 -2.66x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.66x + x2 = -8 The x term is -2.66x. Take half its coefficient (-1.33). Square it (1.7689) and add it to both sides. Add '1.7689' to each side of the equation. -2.66x + 1.7689 + x2 = -8 + 1.7689 Reorder the terms: 1.7689 + -2.66x + x2 = -8 + 1.7689 Combine like terms: -8 + 1.7689 = -6.2311 1.7689 + -2.66x + x2 = -6.2311 Factor a perfect square on the left side: (x + -1.33)(x + -1.33) = -6.2311 Can't calculate square root of the right side. The solution to this equation could not be determined.
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