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

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

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

Multiply (4 + -11i) * (-6 + 5i)
0 = (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))

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

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

Solving for variable 'i'.

Combine like terms: 0 + 24 = 24
24 + -86i + 55i2 = -24 + 86i + -55i2 + 24 + -86i + 55i2

Reorder the terms:
24 + -86i + 55i2 = -24 + 24 + 86i + -86i + -55i2 + 55i2

Combine like terms: -24 + 24 = 0
24 + -86i + 55i2 = 0 + 86i + -86i + -55i2 + 55i2
24 + -86i + 55i2 = 86i + -86i + -55i2 + 55i2

Combine like terms: 86i + -86i = 0
24 + -86i + 55i2 = 0 + -55i2 + 55i2
24 + -86i + 55i2 = -55i2 + 55i2

Combine like terms: -55i2 + 55i2 = 0
24 + -86i + 55i2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
i = {0.3636363636, 1.2}