(5-7j)(6+5j)=

Solution for (5-7j)(6+5j)= equation:

Simplifying
(5 + -7j)(6 + 5j) = 0

Multiply (5 + -7j) * (6 + 5j)
(5(6 + 5j) + -7j * (6 + 5j)) = 0
((6 * 5 + 5j * 5) + -7j * (6 + 5j)) = 0
((30 + 25j) + -7j * (6 + 5j)) = 0
(30 + 25j + (6 * -7j + 5j * -7j)) = 0
(30 + 25j + (-42j + -35j2)) = 0

Combine like terms: 25j + -42j = -17j
(30 + -17j + -35j2) = 0

Solving
30 + -17j + -35j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(5 + -7j)(6 + 5j) = 0

Subproblem 1
Set the factor '(5 + -7j)' equal to zero and attempt to solve:

Simplifying
5 + -7j = 0

Solving
5 + -7j = 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 + -7j = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7j = 0 + -5
-7j = 0 + -5

Combine like terms: 0 + -5 = -5
-7j = -5

Divide each side by '-7'.
j = 0.7142857143

Simplifying
j = 0.7142857143
Subproblem 2
Set the factor '(6 + 5j)' equal to zero and attempt to solve:

Simplifying
6 + 5j = 0

Solving
6 + 5j = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5j = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5j = 0 + -6
5j = 0 + -6

Combine like terms: 0 + -6 = -6
5j = -6

Divide each side by '5'.
j = -1.2

Simplifying
j = -1.2
Solution
j = {0.7142857143, -1.2}