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Simplifying 54x2 + 6x + 1 = 0 Reorder the terms: 1 + 6x + 54x2 = 0 Solving 1 + 6x + 54x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 0.01851851852 + 0.1111111111x + x2 = 0 Move the constant term to the right: Add '-0.01851851852' to each side of the equation. 0.01851851852 + 0.1111111111x + -0.01851851852 + x2 = 0 + -0.01851851852 Reorder the terms: 0.01851851852 + -0.01851851852 + 0.1111111111x + x2 = 0 + -0.01851851852 Combine like terms: 0.01851851852 + -0.01851851852 = 0.00000000000 0.00000000000 + 0.1111111111x + x2 = 0 + -0.01851851852 0.1111111111x + x2 = 0 + -0.01851851852 Combine like terms: 0 + -0.01851851852 = -0.01851851852 0.1111111111x + x2 = -0.01851851852 The x term is 0.1111111111x. Take half its coefficient (0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. 0.1111111111x + 0.003086419752 + x2 = -0.01851851852 + 0.003086419752 Reorder the terms: 0.003086419752 + 0.1111111111x + x2 = -0.01851851852 + 0.003086419752 Combine like terms: -0.01851851852 + 0.003086419752 = -0.015432098768 0.003086419752 + 0.1111111111x + x2 = -0.015432098768 Factor a perfect square on the left side: (x + 0.05555555555)(x + 0.05555555555) = -0.015432098768 Can't calculate square root of the right side. The solution to this equation could not be determined.
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