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Simplifying 3.25x2 + 0.5x + 6.25 = 0 Reorder the terms: 6.25 + 0.5x + 3.25x2 = 0 Solving 6.25 + 0.5x + 3.25x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3.25 the coefficient of the squared term: Divide each side by '3.25'. 1.923076923 + 0.1538461538x + x2 = 0 Move the constant term to the right: Add '-1.923076923' to each side of the equation. 1.923076923 + 0.1538461538x + -1.923076923 + x2 = 0 + -1.923076923 Reorder the terms: 1.923076923 + -1.923076923 + 0.1538461538x + x2 = 0 + -1.923076923 Combine like terms: 1.923076923 + -1.923076923 = 0.000000000 0.000000000 + 0.1538461538x + x2 = 0 + -1.923076923 0.1538461538x + x2 = 0 + -1.923076923 Combine like terms: 0 + -1.923076923 = -1.923076923 0.1538461538x + x2 = -1.923076923 The x term is 0.1538461538x. Take half its coefficient (0.0769230769). Square it (0.005917159760) and add it to both sides. Add '0.005917159760' to each side of the equation. 0.1538461538x + 0.005917159760 + x2 = -1.923076923 + 0.005917159760 Reorder the terms: 0.005917159760 + 0.1538461538x + x2 = -1.923076923 + 0.005917159760 Combine like terms: -1.923076923 + 0.005917159760 = -1.91715976324 0.005917159760 + 0.1538461538x + x2 = -1.91715976324 Factor a perfect square on the left side: (x + 0.0769230769)(x + 0.0769230769) = -1.91715976324 Can't calculate square root of the right side. The solution to this equation could not be determined.
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