(4-11i)(-6+5i)=

Solution for (4-11i)(-6+5i)= equation:

Simplifying
(4 + -11i)(-6 + 5i) = 0

Multiply (4 + -11i) * (-6 + 5i)
(4(-6 + 5i) + -11i * (-6 + 5i)) = 0
((-6 * 4 + 5i * 4) + -11i * (-6 + 5i)) = 0
((-24 + 20i) + -11i * (-6 + 5i)) = 0
(-24 + 20i + (-6 * -11i + 5i * -11i)) = 0
(-24 + 20i + (66i + -55i2)) = 0

Combine like terms: 20i + 66i = 86i
(-24 + 86i + -55i2) = 0

Solving
-24 + 86i + -55i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-6 + 5i)(4 + -11i) = 0

Subproblem 1
Set the factor '(-6 + 5i)' equal to zero and attempt to solve:

Simplifying
-6 + 5i = 0

Solving
-6 + 5i = 0

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

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

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

Combine like terms: 0 + 6 = 6
5i = 6

Divide each side by '5'.
i = 1.2

Simplifying
i = 1.2
Subproblem 2
Set the factor '(4 + -11i)' equal to zero and attempt to solve:

Simplifying
4 + -11i = 0

Solving
4 + -11i = 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 + -11i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11i = 0 + -4
-11i = 0 + -4

Combine like terms: 0 + -4 = -4
-11i = -4

Divide each side by '-11'.
i = 0.3636363636

Simplifying
i = 0.3636363636
Solution
i = {1.2, 0.3636363636}