-2j(j-3)=2j+6

Solution for -2j(j-3)=2j+6 equation:

Simplifying
-2j(j + -3) = 2j + 6

Reorder the terms:
-2j(-3 + j) = 2j + 6
(-3 * -2j + j * -2j) = 2j + 6
(6j + -2j2) = 2j + 6

Reorder the terms:
6j + -2j2 = 6 + 2j

Solving
6j + -2j2 = 6 + 2j

Solving for variable 'j'.

Reorder the terms:
-6 + 6j + -2j + -2j2 = 6 + 2j + -6 + -2j

Combine like terms: 6j + -2j = 4j
-6 + 4j + -2j2 = 6 + 2j + -6 + -2j

Reorder the terms:
-6 + 4j + -2j2 = 6 + -6 + 2j + -2j

Combine like terms: 6 + -6 = 0
-6 + 4j + -2j2 = 0 + 2j + -2j
-6 + 4j + -2j2 = 2j + -2j

Combine like terms: 2j + -2j = 0
-6 + 4j + -2j2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 2j + -1j2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + 2j + -1j2)' equal to zero and attempt to solve:

Simplifying
-3 + 2j + -1j2 = 0

Solving
-3 + 2j + -1j2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
3 + -2j + j2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + -2j + -3 + j2 = 0 + -3

Reorder the terms:
3 + -3 + -2j + j2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2j + j2 = 0 + -3
-2j + j2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2j + j2 = -3

The j term is -2j.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2j + 1 + j2 = -3 + 1

Reorder the terms:
1 + -2j + j2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + -2j + j2 = -2

Factor a perfect square on the left side:
(j + -1)(j + -1) = -2

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.