(6-5i)(1-2i)=

Solution for (6-5i)(1-2i)= equation:

Simplifying
(6 + -5i)(1 + -2i) = 0

Multiply (6 + -5i) * (1 + -2i)
(6(1 + -2i) + -5i * (1 + -2i)) = 0
((1 * 6 + -2i * 6) + -5i * (1 + -2i)) = 0
((6 + -12i) + -5i * (1 + -2i)) = 0
(6 + -12i + (1 * -5i + -2i * -5i)) = 0
(6 + -12i + (-5i + 10i2)) = 0

Combine like terms: -12i + -5i = -17i
(6 + -17i + 10i2) = 0

Solving
6 + -17i + 10i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(1 + -2i)(6 + -5i) = 0

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

Simplifying
1 + -2i = 0

Solving
1 + -2i = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5
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 = {0.5, 1.2}