4(2j+2)(2j-1)=

Solution for 4(2j+2)(2j-1)= equation:

Simplifying
4(2j + 2)(2j + -1) = 0

Reorder the terms:
4(2 + 2j)(2j + -1) = 0

Reorder the terms:
4(2 + 2j)(-1 + 2j) = 0

Multiply (2 + 2j) * (-1 + 2j)
4(2(-1 + 2j) + 2j * (-1 + 2j)) = 0
4((-1 * 2 + 2j * 2) + 2j * (-1 + 2j)) = 0
4((-2 + 4j) + 2j * (-1 + 2j)) = 0
4(-2 + 4j + (-1 * 2j + 2j * 2j)) = 0
4(-2 + 4j + (-2j + 4j2)) = 0

Combine like terms: 4j + -2j = 2j
4(-2 + 2j + 4j2) = 0
(-2 * 4 + 2j * 4 + 4j2 * 4) = 0
(-8 + 8j + 16j2) = 0

Solving
-8 + 8j + 16j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-1 + j + 2j2) = 0

Factor a trinomial.
8((-1 + -1j)(1 + -2j)) = 0

Ignore the factor 8.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -2j)' equal to zero and attempt to solve:

Simplifying
1 + -2j = 0

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

Combine like terms: 1 + -1 = 0
0 + -2j = 0 + -1
-2j = 0 + -1

Combine like terms: 0 + -1 = -1
-2j = -1

Divide each side by '-2'.
j = 0.5

Simplifying
j = 0.5
Solution
j = {-1, 0.5}