(3-2i)(4-5i)=

Solution for (3-2i)(4-5i)= equation:

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

Multiply (3 + -2i) * (4 + -5i)
(3(4 + -5i) + -2i * (4 + -5i)) = 0
((4 * 3 + -5i * 3) + -2i * (4 + -5i)) = 0
((12 + -15i) + -2i * (4 + -5i)) = 0
(12 + -15i + (4 * -2i + -5i * -2i)) = 0
(12 + -15i + (-8i + 10i2)) = 0

Combine like terms: -15i + -8i = -23i
(12 + -23i + 10i2) = 0

Solving
12 + -23i + 10i2 = 0

Solving for variable 'i'.

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

Subproblem 1
Set the factor '(4 + -5i)' equal to zero and attempt to solve:

Simplifying
4 + -5i = 0

Solving
4 + -5i = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5i = 0 + -4
-5i = 0 + -4

Combine like terms: 0 + -4 = -4
-5i = -4

Divide each side by '-5'.
i = 0.8

Simplifying
i = 0.8
Subproblem 2
Set the factor '(3 + -2i)' equal to zero and attempt to solve:

Simplifying
3 + -2i = 0

Solving
3 + -2i = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2i = 0 + -3
-2i = 0 + -3

Combine like terms: 0 + -3 = -3
-2i = -3

Divide each side by '-2'.
i = 1.5

Simplifying
i = 1.5
Solution
i = {0.8, 1.5}