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Simplifying 27x2 + 6x + 1 = 0 Reorder the terms: 1 + 6x + 27x2 = 0 Solving 1 + 6x + 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 + 0.2222222222x + x2 = 0 Move the constant term to the right: Add '-0.03703703704' to each side of the equation. 0.03703703704 + 0.2222222222x + -0.03703703704 + x2 = 0 + -0.03703703704 Reorder the terms: 0.03703703704 + -0.03703703704 + 0.2222222222x + x2 = 0 + -0.03703703704 Combine like terms: 0.03703703704 + -0.03703703704 = 0.00000000000 0.00000000000 + 0.2222222222x + x2 = 0 + -0.03703703704 0.2222222222x + x2 = 0 + -0.03703703704 Combine like terms: 0 + -0.03703703704 = -0.03703703704 0.2222222222x + x2 = -0.03703703704 The x term is 0.2222222222x. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222x + 0.01234567901 + x2 = -0.03703703704 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222x + x2 = -0.03703703704 + 0.01234567901 Combine like terms: -0.03703703704 + 0.01234567901 = -0.02469135803 0.01234567901 + 0.2222222222x + x2 = -0.02469135803 Factor a perfect square on the left side: (x + 0.1111111111)(x + 0.1111111111) = -0.02469135803 Can't calculate square root of the right side. The solution to this equation could not be determined.
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