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Simplifying 78x2 = x + -7 Reorder the terms: 78x2 = -7 + x Solving 78x2 = -7 + x Solving for variable 'x'. Reorder the terms: 7 + -1x + 78x2 = -7 + x + 7 + -1x Reorder the terms: 7 + -1x + 78x2 = -7 + 7 + x + -1x Combine like terms: -7 + 7 = 0 7 + -1x + 78x2 = 0 + x + -1x 7 + -1x + 78x2 = x + -1x Combine like terms: x + -1x = 0 7 + -1x + 78x2 = 0 Begin completing the square. Divide all terms by 78 the coefficient of the squared term: Divide each side by '78'. 0.08974358974 + -0.01282051282x + x2 = 0 Move the constant term to the right: Add '-0.08974358974' to each side of the equation. 0.08974358974 + -0.01282051282x + -0.08974358974 + x2 = 0 + -0.08974358974 Reorder the terms: 0.08974358974 + -0.08974358974 + -0.01282051282x + x2 = 0 + -0.08974358974 Combine like terms: 0.08974358974 + -0.08974358974 = 0.00000000000 0.00000000000 + -0.01282051282x + x2 = 0 + -0.08974358974 -0.01282051282x + x2 = 0 + -0.08974358974 Combine like terms: 0 + -0.08974358974 = -0.08974358974 -0.01282051282x + x2 = -0.08974358974 The x term is -0.01282051282x. Take half its coefficient (-0.00641025641). Square it (0.00004109138724) and add it to both sides. Add '0.00004109138724' to each side of the equation. -0.01282051282x + 0.00004109138724 + x2 = -0.08974358974 + 0.00004109138724 Reorder the terms: 0.00004109138724 + -0.01282051282x + x2 = -0.08974358974 + 0.00004109138724 Combine like terms: -0.08974358974 + 0.00004109138724 = -0.08970249835276 0.00004109138724 + -0.01282051282x + x2 = -0.08970249835276 Factor a perfect square on the left side: (x + -0.00641025641)(x + -0.00641025641) = -0.08970249835276 Can't calculate square root of the right side. The solution to this equation could not be determined.
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