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Simplifying L2 + 0.04L + 0.00052 = 0 Reorder the terms: 0.00052 + 0.04L + L2 = 0 Solving 0.00052 + 0.04L + L2 = 0 Solving for variable 'L'. Begin completing the square. Move the constant term to the right: Add '-0.00052' to each side of the equation. 0.00052 + 0.04L + -0.00052 + L2 = 0 + -0.00052 Reorder the terms: 0.00052 + -0.00052 + 0.04L + L2 = 0 + -0.00052 Combine like terms: 0.00052 + -0.00052 = 0.00000 0.00000 + 0.04L + L2 = 0 + -0.00052 0.04L + L2 = 0 + -0.00052 Combine like terms: 0 + -0.00052 = -0.00052 0.04L + L2 = -0.00052 The L term is 0.04L. Take half its coefficient (0.02). Square it (0.0004) and add it to both sides. Add '0.0004' to each side of the equation. 0.04L + 0.0004 + L2 = -0.00052 + 0.0004 Reorder the terms: 0.0004 + 0.04L + L2 = -0.00052 + 0.0004 Combine like terms: -0.00052 + 0.0004 = -0.00012 0.0004 + 0.04L + L2 = -0.00012 Factor a perfect square on the left side: (L + 0.02)(L + 0.02) = -0.00012 Can't calculate square root of the right side. The solution to this equation could not be determined.
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