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Simplifying (0.0625x2) + (0.25x) + 1 = 0 Reorder the terms: 1 + (0.25x) + (0.0625x2) = 0 Solving 1 + (0.25x) + (0.0625x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.0625 the coefficient of the squared term: Divide each side by '0.0625'. 16 + (4x) + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + (4x) + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + (4x) + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + (4x) + x2 = 0 + -16 (4x) + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 (4x) + x2 = -16 The x term is (4x). Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. (4x) + 4 + x2 = -16 + 4 Reorder the terms: 4 + (4x) + x2 = -16 + 4 Combine like terms: -16 + 4 = -12 4 + (4x) + x2 = -12 Factor a perfect square on the left side: ((x) + 2)((x) + 2) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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