(3-5i)(6-2i)=

Solution for (3-5i)(6-2i)= equation:

Simplifying
(3 + -5i)(6 + -2i) = 0

Multiply (3 + -5i) * (6 + -2i)
(3(6 + -2i) + -5i * (6 + -2i)) = 0
((6 * 3 + -2i * 3) + -5i * (6 + -2i)) = 0
((18 + -6i) + -5i * (6 + -2i)) = 0
(18 + -6i + (6 * -5i + -2i * -5i)) = 0
(18 + -6i + (-30i + 10i2)) = 0

Combine like terms: -6i + -30i = -36i
(18 + -36i + 10i2) = 0

Solving
18 + -36i + 10i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -18i + 5i2) = 0

Factor a trinomial.
2((3 + -5i)(3 + -1i)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -5i)' equal to zero and attempt to solve:

Simplifying
3 + -5i = 0

Solving
3 + -5i = 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 + -5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5i = 0 + -3
-5i = 0 + -3

Combine like terms: 0 + -3 = -3
-5i = -3

Divide each side by '-5'.
i = 0.6

Simplifying
i = 0.6
Subproblem 2
Set the factor '(3 + -1i)' equal to zero and attempt to solve:

Simplifying
3 + -1i = 0

Solving
3 + -1i = 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 + -1i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1i = 0 + -3
-1i = 0 + -3

Combine like terms: 0 + -3 = -3
-1i = -3

Divide each side by '-1'.
i = 3

Simplifying
i = 3
Solution
i = {0.6, 3}