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Simplifying 12x2 + 71x + 109 = 0 Reorder the terms: 109 + 71x + 12x2 = 0 Solving 109 + 71x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 9.083333333 + 5.916666667x + x2 = 0 Move the constant term to the right: Add '-9.083333333' to each side of the equation. 9.083333333 + 5.916666667x + -9.083333333 + x2 = 0 + -9.083333333 Reorder the terms: 9.083333333 + -9.083333333 + 5.916666667x + x2 = 0 + -9.083333333 Combine like terms: 9.083333333 + -9.083333333 = 0.000000000 0.000000000 + 5.916666667x + x2 = 0 + -9.083333333 5.916666667x + x2 = 0 + -9.083333333 Combine like terms: 0 + -9.083333333 = -9.083333333 5.916666667x + x2 = -9.083333333 The x term is 5.916666667x. Take half its coefficient (2.958333334). Square it (8.751736115) and add it to both sides. Add '8.751736115' to each side of the equation. 5.916666667x + 8.751736115 + x2 = -9.083333333 + 8.751736115 Reorder the terms: 8.751736115 + 5.916666667x + x2 = -9.083333333 + 8.751736115 Combine like terms: -9.083333333 + 8.751736115 = -0.331597218 8.751736115 + 5.916666667x + x2 = -0.331597218 Factor a perfect square on the left side: (x + 2.958333334)(x + 2.958333334) = -0.331597218 Can't calculate square root of the right side. The solution to this equation could not be determined.
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