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Simplifying 6x2 + 17x + 29 = 0 Reorder the terms: 29 + 17x + 6x2 = 0 Solving 29 + 17x + 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'. 4.833333333 + 2.833333333x + x2 = 0 Move the constant term to the right: Add '-4.833333333' to each side of the equation. 4.833333333 + 2.833333333x + -4.833333333 + x2 = 0 + -4.833333333 Reorder the terms: 4.833333333 + -4.833333333 + 2.833333333x + x2 = 0 + -4.833333333 Combine like terms: 4.833333333 + -4.833333333 = 0.000000000 0.000000000 + 2.833333333x + x2 = 0 + -4.833333333 2.833333333x + x2 = 0 + -4.833333333 Combine like terms: 0 + -4.833333333 = -4.833333333 2.833333333x + x2 = -4.833333333 The x term is 2.833333333x. Take half its coefficient (1.416666667). Square it (2.006944445) and add it to both sides. Add '2.006944445' to each side of the equation. 2.833333333x + 2.006944445 + x2 = -4.833333333 + 2.006944445 Reorder the terms: 2.006944445 + 2.833333333x + x2 = -4.833333333 + 2.006944445 Combine like terms: -4.833333333 + 2.006944445 = -2.826388888 2.006944445 + 2.833333333x + x2 = -2.826388888 Factor a perfect square on the left side: (x + 1.416666667)(x + 1.416666667) = -2.826388888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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