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Simplifying 6x2 + -29x + 49 = 0 Reorder the terms: 49 + -29x + 6x2 = 0 Solving 49 + -29x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 8.166666667 + -4.833333333x + x2 = 0 Move the constant term to the right: Add '-8.166666667' to each side of the equation. 8.166666667 + -4.833333333x + -8.166666667 + x2 = 0 + -8.166666667 Reorder the terms: 8.166666667 + -8.166666667 + -4.833333333x + x2 = 0 + -8.166666667 Combine like terms: 8.166666667 + -8.166666667 = 0.000000000 0.000000000 + -4.833333333x + x2 = 0 + -8.166666667 -4.833333333x + x2 = 0 + -8.166666667 Combine like terms: 0 + -8.166666667 = -8.166666667 -4.833333333x + x2 = -8.166666667 The x term is -4.833333333x. Take half its coefficient (-2.416666667). Square it (5.840277779) and add it to both sides. Add '5.840277779' to each side of the equation. -4.833333333x + 5.840277779 + x2 = -8.166666667 + 5.840277779 Reorder the terms: 5.840277779 + -4.833333333x + x2 = -8.166666667 + 5.840277779 Combine like terms: -8.166666667 + 5.840277779 = -2.326388888 5.840277779 + -4.833333333x + x2 = -2.326388888 Factor a perfect square on the left side: (x + -2.416666667)(x + -2.416666667) = -2.326388888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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