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Simplifying 60x2 + 3x + 2 = 0 Reorder the terms: 2 + 3x + 60x2 = 0 Solving 2 + 3x + 60x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 60 the coefficient of the squared term: Divide each side by '60'. 0.03333333333 + 0.05x + x2 = 0 Move the constant term to the right: Add '-0.03333333333' to each side of the equation. 0.03333333333 + 0.05x + -0.03333333333 + x2 = 0 + -0.03333333333 Reorder the terms: 0.03333333333 + -0.03333333333 + 0.05x + x2 = 0 + -0.03333333333 Combine like terms: 0.03333333333 + -0.03333333333 = 0.00000000000 0.00000000000 + 0.05x + x2 = 0 + -0.03333333333 0.05x + x2 = 0 + -0.03333333333 Combine like terms: 0 + -0.03333333333 = -0.03333333333 0.05x + x2 = -0.03333333333 The x term is 0.05x. Take half its coefficient (0.025). Square it (0.000625) and add it to both sides. Add '0.000625' to each side of the equation. 0.05x + 0.000625 + x2 = -0.03333333333 + 0.000625 Reorder the terms: 0.000625 + 0.05x + x2 = -0.03333333333 + 0.000625 Combine like terms: -0.03333333333 + 0.000625 = -0.03270833333 0.000625 + 0.05x + x2 = -0.03270833333 Factor a perfect square on the left side: (x + 0.025)(x + 0.025) = -0.03270833333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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