L^2+0.04L+0.00052=0

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Solution for L^2+0.04L+0.00052=0 equation:


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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