4j^2-2j+18=0

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Solution for 4j^2-2j+18=0 equation: 


Simplifying
4j2 + -2j + 18 = 0

Reorder the terms:
18 + -2j + 4j2 = 0

Solving
18 + -2j + 4j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -1j + 2j2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(9 + -1j + 2j2)' equal to zero and attempt to solve:

Simplifying
9 + -1j + 2j2 = 0

Solving
9 + -1j + 2j2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
4.5 + -0.5j + j2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -0.5j + -4.5 + j2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -0.5j + j2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -0.5j + j2 = 0 + -4.5
-0.5j + j2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-0.5j + j2 = -4.5

The j term is -0.5j.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5j + 0.0625 + j2 = -4.5 + 0.0625

Reorder the terms:
0.0625 + -0.5j + j2 = -4.5 + 0.0625

Combine like terms: -4.5 + 0.0625 = -4.4375
0.0625 + -0.5j + j2 = -4.4375

Factor a perfect square on the left side:
(j + -0.25)(j + -0.25) = -4.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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