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Simplifying 8x2 + 49x + 351 = 0 Reorder the terms: 351 + 49x + 8x2 = 0 Solving 351 + 49x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 43.875 + 6.125x + x2 = 0 Move the constant term to the right: Add '-43.875' to each side of the equation. 43.875 + 6.125x + -43.875 + x2 = 0 + -43.875 Reorder the terms: 43.875 + -43.875 + 6.125x + x2 = 0 + -43.875 Combine like terms: 43.875 + -43.875 = 0.000 0.000 + 6.125x + x2 = 0 + -43.875 6.125x + x2 = 0 + -43.875 Combine like terms: 0 + -43.875 = -43.875 6.125x + x2 = -43.875 The x term is 6.125x. Take half its coefficient (3.0625). Square it (9.37890625) and add it to both sides. Add '9.37890625' to each side of the equation. 6.125x + 9.37890625 + x2 = -43.875 + 9.37890625 Reorder the terms: 9.37890625 + 6.125x + x2 = -43.875 + 9.37890625 Combine like terms: -43.875 + 9.37890625 = -34.49609375 9.37890625 + 6.125x + x2 = -34.49609375 Factor a perfect square on the left side: (x + 3.0625)(x + 3.0625) = -34.49609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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