(2-5j)*(3+4j)=

Solution for (2-5j)*(3+4j)= equation:

Simplifying
(2 + -5j)(3 + 4j) = 0

Multiply (2 + -5j) * (3 + 4j)
(2(3 + 4j) + -5j * (3 + 4j)) = 0
((3 * 2 + 4j * 2) + -5j * (3 + 4j)) = 0
((6 + 8j) + -5j * (3 + 4j)) = 0
(6 + 8j + (3 * -5j + 4j * -5j)) = 0
(6 + 8j + (-15j + -20j2)) = 0

Combine like terms: 8j + -15j = -7j
(6 + -7j + -20j2) = 0

Solving
6 + -7j + -20j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(2 + -5j)(3 + 4j) = 0

Subproblem 1
Set the factor '(2 + -5j)' equal to zero and attempt to solve:

Simplifying
2 + -5j = 0

Solving
2 + -5j = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5j = 0 + -2

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

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

Divide each side by '-5'.
j = 0.4

Simplifying
j = 0.4
Subproblem 2
Set the factor '(3 + 4j)' equal to zero and attempt to solve:

Simplifying
3 + 4j = 0

Solving
3 + 4j = 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 + 4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4j = 0 + -3
4j = 0 + -3

Combine like terms: 0 + -3 = -3
4j = -3

Divide each side by '4'.
j = -0.75

Simplifying
j = -0.75
Solution
j = {0.4, -0.75}