(5+2j)*(7-4j)=

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Solution for (5+2j)*(7-4j)= equation: 


Simplifying
(5 + 2j)(7 + -4j) = 0

Multiply (5 + 2j) * (7 + -4j)
(5(7 + -4j) + 2j * (7 + -4j)) = 0
((7 * 5 + -4j * 5) + 2j * (7 + -4j)) = 0
((35 + -20j) + 2j * (7 + -4j)) = 0
(35 + -20j + (7 * 2j + -4j * 2j)) = 0
(35 + -20j + (14j + -8j2)) = 0

Combine like terms: -20j + 14j = -6j
(35 + -6j + -8j2) = 0

Solving
35 + -6j + -8j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(7 + -4j)(5 + 2j) = 0


Subproblem 1
Set the factor '(7 + -4j)' equal to zero and attempt to solve:

Simplifying
7 + -4j = 0

Solving
7 + -4j = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4j = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4j = 0 + -7
-4j = 0 + -7

Combine like terms: 0 + -7 = -7
-4j = -7

Divide each side by '-4'.
j = 1.75

Simplifying
j = 1.75

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

Simplifying
5 + 2j = 0

Solving
5 + 2j = 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 + 2j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2j = 0 + -5
2j = 0 + -5

Combine like terms: 0 + -5 = -5
2j = -5

Divide each side by '2'.
j = -2.5

Simplifying
j = -2.5
Solution
j = {1.75, -2.5}

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