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Simplifying (0.25x2) + (0.25x) + 1 = 0 Reorder the terms: 1 + (0.25x) + (0.25x2) = 0 Solving 1 + (0.25x) + (0.25x2) = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.25 the coefficient of the squared term: Divide each side by '0.25'. 4 + x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x + x2 = 0 + -4 x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 x + x2 = -4 The x term is (x). Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -4 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -4 + 0.25 Combine like terms: -4 + 0.25 = -3.75 1.25 + x2 = -3.75 Factor a perfect square on the left side: ((x) + 0.5)((x) + 0.5) = -3.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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