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Simplifying x2 + 0.52x + 0.49 = 0 Reorder the terms: 0.49 + 0.52x + x2 = 0 Solving 0.49 + 0.52x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-0.49' to each side of the equation. 0.49 + 0.52x + -0.49 + x2 = 0 + -0.49 Reorder the terms: 0.49 + -0.49 + 0.52x + x2 = 0 + -0.49 Combine like terms: 0.49 + -0.49 = 0.00 0.00 + 0.52x + x2 = 0 + -0.49 0.52x + x2 = 0 + -0.49 Combine like terms: 0 + -0.49 = -0.49 0.52x + x2 = -0.49 The x term is 0.52x. Take half its coefficient (0.26). Square it (0.0676) and add it to both sides. Add '0.0676' to each side of the equation. 0.52x + 0.0676 + x2 = -0.49 + 0.0676 Reorder the terms: 0.0676 + 0.52x + x2 = -0.49 + 0.0676 Combine like terms: -0.49 + 0.0676 = -0.4224 0.0676 + 0.52x + x2 = -0.4224 Factor a perfect square on the left side: (x + 0.26)(x + 0.26) = -0.4224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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