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Simplifying x2 + 0.05x + 25 = 0 Reorder the terms: 25 + 0.05x + x2 = 0 Solving 25 + 0.05x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 0.05x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 0.05x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 0.05x + x2 = 0 + -25 0.05x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 0.05x + x2 = -25 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 = -25 + 0.000625 Reorder the terms: 0.000625 + 0.05x + x2 = -25 + 0.000625 Combine like terms: -25 + 0.000625 = -24.999375 0.000625 + 0.05x + x2 = -24.999375 Factor a perfect square on the left side: (x + 0.025)(x + 0.025) = -24.999375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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