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Simplifying 4x2 + 0.2x + 0.01 = 0 Reorder the terms: 0.01 + 0.2x + 4x2 = 0 Solving 0.01 + 0.2x + 4x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.0025 + 0.05x + x2 = 0 Move the constant term to the right: Add '-0.0025' to each side of the equation. 0.0025 + 0.05x + -0.0025 + x2 = 0 + -0.0025 Reorder the terms: 0.0025 + -0.0025 + 0.05x + x2 = 0 + -0.0025 Combine like terms: 0.0025 + -0.0025 = 0.0000 0.0000 + 0.05x + x2 = 0 + -0.0025 0.05x + x2 = 0 + -0.0025 Combine like terms: 0 + -0.0025 = -0.0025 0.05x + x2 = -0.0025 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 = -0.0025 + 0.000625 Reorder the terms: 0.000625 + 0.05x + x2 = -0.0025 + 0.000625 Combine like terms: -0.0025 + 0.000625 = -0.001875 0.000625 + 0.05x + x2 = -0.001875 Factor a perfect square on the left side: (x + 0.025)(x + 0.025) = -0.001875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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