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Simplifying 27x2 + 9x + 1 = 0 Reorder the terms: 1 + 9x + 27x2 = 0 Solving 1 + 9x + 27x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 27 the coefficient of the squared term: Divide each side by '27'. 0.03703703704 + 0.3333333333x + x2 = 0 Move the constant term to the right: Add '-0.03703703704' to each side of the equation. 0.03703703704 + 0.3333333333x + -0.03703703704 + x2 = 0 + -0.03703703704 Reorder the terms: 0.03703703704 + -0.03703703704 + 0.3333333333x + x2 = 0 + -0.03703703704 Combine like terms: 0.03703703704 + -0.03703703704 = 0.00000000000 0.00000000000 + 0.3333333333x + x2 = 0 + -0.03703703704 0.3333333333x + x2 = 0 + -0.03703703704 Combine like terms: 0 + -0.03703703704 = -0.03703703704 0.3333333333x + x2 = -0.03703703704 The x term is 0.3333333333x. Take half its coefficient (0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. 0.3333333333x + 0.02777777779 + x2 = -0.03703703704 + 0.02777777779 Reorder the terms: 0.02777777779 + 0.3333333333x + x2 = -0.03703703704 + 0.02777777779 Combine like terms: -0.03703703704 + 0.02777777779 = -0.00925925925 0.02777777779 + 0.3333333333x + x2 = -0.00925925925 Factor a perfect square on the left side: (x + 0.1666666667)(x + 0.1666666667) = -0.00925925925 Can't calculate square root of the right side. The solution to this equation could not be determined.
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