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Simplifying 6x2 + -35x + 77 = 0 Reorder the terms: 77 + -35x + 6x2 = 0 Solving 77 + -35x + 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'. 12.83333333 + -5.833333333x + x2 = 0 Move the constant term to the right: Add '-12.83333333' to each side of the equation. 12.83333333 + -5.833333333x + -12.83333333 + x2 = 0 + -12.83333333 Reorder the terms: 12.83333333 + -12.83333333 + -5.833333333x + x2 = 0 + -12.83333333 Combine like terms: 12.83333333 + -12.83333333 = 0.00000000 0.00000000 + -5.833333333x + x2 = 0 + -12.83333333 -5.833333333x + x2 = 0 + -12.83333333 Combine like terms: 0 + -12.83333333 = -12.83333333 -5.833333333x + x2 = -12.83333333 The x term is -5.833333333x. Take half its coefficient (-2.916666667). Square it (8.506944446) and add it to both sides. Add '8.506944446' to each side of the equation. -5.833333333x + 8.506944446 + x2 = -12.83333333 + 8.506944446 Reorder the terms: 8.506944446 + -5.833333333x + x2 = -12.83333333 + 8.506944446 Combine like terms: -12.83333333 + 8.506944446 = -4.326388884 8.506944446 + -5.833333333x + x2 = -4.326388884 Factor a perfect square on the left side: (x + -2.916666667)(x + -2.916666667) = -4.326388884 Can't calculate square root of the right side. The solution to this equation could not be determined.
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