(-7+9j+2)*(-7+9j+4)=

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Solution for (-7+9j+2)*(-7+9j+4)= equation: 


Simplifying
(-7 + 9j + 2)(-7 + 9j + 4) = 0

Reorder the terms:
(-7 + 2 + 9j)(-7 + 9j + 4) = 0

Combine like terms: -7 + 2 = -5
(-5 + 9j)(-7 + 9j + 4) = 0

Reorder the terms:
(-5 + 9j)(-7 + 4 + 9j) = 0

Combine like terms: -7 + 4 = -3
(-5 + 9j)(-3 + 9j) = 0

Multiply (-5 + 9j) * (-3 + 9j)
(-5(-3 + 9j) + 9j * (-3 + 9j)) = 0
((-3 * -5 + 9j * -5) + 9j * (-3 + 9j)) = 0
((15 + -45j) + 9j * (-3 + 9j)) = 0
(15 + -45j + (-3 * 9j + 9j * 9j)) = 0
(15 + -45j + (-27j + 81j2)) = 0

Combine like terms: -45j + -27j = -72j
(15 + -72j + 81j2) = 0

Solving
15 + -72j + 81j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -24j + 27j2) = 0

Factor a trinomial.
3((1 + -3j)(5 + -9j)) = 0

Ignore the factor 3.

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

Simplifying
1 + -3j = 0

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

Combine like terms: 1 + -1 = 0
0 + -3j = 0 + -1
-3j = 0 + -1

Combine like terms: 0 + -1 = -1
-3j = -1

Divide each side by '-3'.
j = 0.3333333333

Simplifying
j = 0.3333333333

Subproblem 2
Set the factor '(5 + -9j)' equal to zero and attempt to solve:

Simplifying
5 + -9j = 0

Solving
5 + -9j = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9j = 0 + -5
-9j = 0 + -5

Combine like terms: 0 + -5 = -5
-9j = -5

Divide each side by '-9'.
j = 0.5555555556

Simplifying
j = 0.5555555556
Solution
j = {0.3333333333, 0.5555555556}

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