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Simplifying 6x2 + 35x + 53 = 0 Reorder the terms: 53 + 35x + 6x2 = 0 Solving 53 + 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'. 8.833333333 + 5.833333333x + x2 = 0 Move the constant term to the right: Add '-8.833333333' to each side of the equation. 8.833333333 + 5.833333333x + -8.833333333 + x2 = 0 + -8.833333333 Reorder the terms: 8.833333333 + -8.833333333 + 5.833333333x + x2 = 0 + -8.833333333 Combine like terms: 8.833333333 + -8.833333333 = 0.000000000 0.000000000 + 5.833333333x + x2 = 0 + -8.833333333 5.833333333x + x2 = 0 + -8.833333333 Combine like terms: 0 + -8.833333333 = -8.833333333 5.833333333x + x2 = -8.833333333 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 = -8.833333333 + 8.506944446 Reorder the terms: 8.506944446 + 5.833333333x + x2 = -8.833333333 + 8.506944446 Combine like terms: -8.833333333 + 8.506944446 = -0.326388887 8.506944446 + 5.833333333x + x2 = -0.326388887 Factor a perfect square on the left side: (x + 2.916666667)(x + 2.916666667) = -0.326388887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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