-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 = 8j
-6 + 8j + -2j2 = 6 + -2j + -6 + 2j

Reorder the terms:
-6 + 8j + -2j2 = 6 + -6 + -2j + 2j

Combine like terms: 6 + -6 = 0
-6 + 8j + -2j2 = 0 + -2j + 2j
-6 + 8j + -2j2 = -2j + 2j

Combine like terms: -2j + 2j = 0
-6 + 8j + -2j2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 4j + -1j2) = 0

Factor a trinomial.
2((-3 + j)(1 + -1j)) = 0

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

Simplifying
-3 + j = 0

Solving
-3 + j = 0

Move all terms containing j to the left, all other terms to the right.

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

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

Combine like terms: 0 + 3 = 3
j = 3

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

Simplifying
1 + -1j = 0

Solving
1 + -1j = 0

Move all terms containing j to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1j = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1j = 0 + -1
-1j = 0 + -1

Combine like terms: 0 + -1 = -1
-1j = -1

Divide each side by '-1'.
j = 1

Simplifying
j = 1
Solution
j = {3, 1}