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Simplifying 3180x2 + 5821x + 5979 = 0 Reorder the terms: 5979 + 5821x + 3180x2 = 0 Solving 5979 + 5821x + 3180x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3180 the coefficient of the squared term: Divide each side by '3180'. 1.880188679 + 1.830503145x + x2 = 0 Move the constant term to the right: Add '-1.880188679' to each side of the equation. 1.880188679 + 1.830503145x + -1.880188679 + x2 = 0 + -1.880188679 Reorder the terms: 1.880188679 + -1.880188679 + 1.830503145x + x2 = 0 + -1.880188679 Combine like terms: 1.880188679 + -1.880188679 = 0.000000000 0.000000000 + 1.830503145x + x2 = 0 + -1.880188679 1.830503145x + x2 = 0 + -1.880188679 Combine like terms: 0 + -1.880188679 = -1.880188679 1.830503145x + x2 = -1.880188679 The x term is 1.830503145x. Take half its coefficient (0.9152515725). Square it (0.8376854410) and add it to both sides. Add '0.8376854410' to each side of the equation. 1.830503145x + 0.8376854410 + x2 = -1.880188679 + 0.8376854410 Reorder the terms: 0.8376854410 + 1.830503145x + x2 = -1.880188679 + 0.8376854410 Combine like terms: -1.880188679 + 0.8376854410 = -1.042503238 0.8376854410 + 1.830503145x + x2 = -1.042503238 Factor a perfect square on the left side: (x + 0.9152515725)(x + 0.9152515725) = -1.042503238 Can't calculate square root of the right side. The solution to this equation could not be determined.
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