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Simplifying -6x2 + 20x + -17 = 0 Reorder the terms: -17 + 20x + -6x2 = 0 Solving -17 + 20x + -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'. 2.833333333 + -3.333333333x + x2 = 0 Move the constant term to the right: Add '-2.833333333' to each side of the equation. 2.833333333 + -3.333333333x + -2.833333333 + x2 = 0 + -2.833333333 Reorder the terms: 2.833333333 + -2.833333333 + -3.333333333x + x2 = 0 + -2.833333333 Combine like terms: 2.833333333 + -2.833333333 = 0.000000000 0.000000000 + -3.333333333x + x2 = 0 + -2.833333333 -3.333333333x + x2 = 0 + -2.833333333 Combine like terms: 0 + -2.833333333 = -2.833333333 -3.333333333x + x2 = -2.833333333 The x term is -3.333333333x. Take half its coefficient (-1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. -3.333333333x + 2.777777779 + x2 = -2.833333333 + 2.777777779 Reorder the terms: 2.777777779 + -3.333333333x + x2 = -2.833333333 + 2.777777779 Combine like terms: -2.833333333 + 2.777777779 = -0.055555554 2.777777779 + -3.333333333x + x2 = -0.055555554 Factor a perfect square on the left side: (x + -1.666666667)(x + -1.666666667) = -0.055555554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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