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Simplifying (0.16666666666666666x2) + (0.25x) + 1 = 0 Reorder the terms: 1 + (0.25x) + (0.16666666666666666x2) = 0 Solving 1 + (0.25x) + (0.16666666666666666x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.16666666666666666 the coefficient of the squared term: Divide each side by '0.16666666666666666'. 6 + (1.5x) + x2 = 0 Move the constant term to the right: Add '-6' to each side of the equation. 6 + (1.5x) + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + (1.5x) + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + (1.5x) + x2 = 0 + -6 (1.5x) + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 (1.5x) + x2 = -6 The x term is (1.5x). Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. (1.5x) + 0.5625 + x2 = -6 + 0.5625 Reorder the terms: 0.5625 + (1.5x) + x2 = -6 + 0.5625 Combine like terms: -6 + 0.5625 = -5.4375 0.5625 + (1.5x) + x2 = -5.4375 Factor a perfect square on the left side: ((x) + 0.75)((x) + 0.75) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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