Z^2+1.5588Z+0.81=0

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Solution for Z^2+1.5588Z+0.81=0 equation:


Simplifying
Z2 + 1.5588Z + 0.81 = 0

Reorder the terms:
0.81 + 1.5588Z + Z2 = 0

Solving
0.81 + 1.5588Z + Z2 = 0

Solving for variable 'Z'.

Begin completing the square.

Move the constant term to the right:

Add '-0.81' to each side of the equation.
0.81 + 1.5588Z + -0.81 + Z2 = 0 + -0.81

Reorder the terms:
0.81 + -0.81 + 1.5588Z + Z2 = 0 + -0.81

Combine like terms: 0.81 + -0.81 = 0.00
0.00 + 1.5588Z + Z2 = 0 + -0.81
1.5588Z + Z2 = 0 + -0.81

Combine like terms: 0 + -0.81 = -0.81
1.5588Z + Z2 = -0.81

The Z term is 1.5588Z.  Take half its coefficient (0.7794).
Square it (0.60746436) and add it to both sides.

Add '0.60746436' to each side of the equation.
1.5588Z + 0.60746436 + Z2 = -0.81 + 0.60746436

Reorder the terms:
0.60746436 + 1.5588Z + Z2 = -0.81 + 0.60746436

Combine like terms: -0.81 + 0.60746436 = -0.20253564
0.60746436 + 1.5588Z + Z2 = -0.20253564

Factor a perfect square on the left side:
(Z + 0.7794)(Z + 0.7794) = -0.20253564

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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