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Simplifying 2x2 + 0.1x = -0.04 Reorder the terms: 0.1x + 2x2 = -0.04 Solving 0.1x + 2x2 = -0.04 Solving for variable 'x'. Reorder the terms: 0.04 + 0.1x + 2x2 = -0.04 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.04 + 0.1x + 2x2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.02 + 0.05x + x2 = 0.00 Move the constant term to the right: Add '-0.02' to each side of the equation. 0.02 + 0.05x + -0.02 + x2 = 0.00 + -0.02 Reorder the terms: 0.02 + -0.02 + 0.05x + x2 = 0.00 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.05x + x2 = 0.00 + -0.02 0.05x + x2 = 0.00 + -0.02 Combine like terms: 0.00 + -0.02 = -0.02 0.05x + x2 = -0.02 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 = -0.02 + 0.000625 Reorder the terms: 0.000625 + 0.05x + x2 = -0.02 + 0.000625 Combine like terms: -0.02 + 0.000625 = -0.019375 0.000625 + 0.05x + x2 = -0.019375 Factor a perfect square on the left side: (x + 0.025)(x + 0.025) = -0.019375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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