(-1+6i)(3-5i)=

Solution for (-1+6i)(3-5i)= equation:

Simplifying
(-1 + 6i)(3 + -5i) = 0

Multiply (-1 + 6i) * (3 + -5i)
(-1(3 + -5i) + 6i * (3 + -5i)) = 0
((3 * -1 + -5i * -1) + 6i * (3 + -5i)) = 0
((-3 + 5i) + 6i * (3 + -5i)) = 0
(-3 + 5i + (3 * 6i + -5i * 6i)) = 0
(-3 + 5i + (18i + -30i2)) = 0

Combine like terms: 5i + 18i = 23i
(-3 + 23i + -30i2) = 0

Solving
-3 + 23i + -30i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-3 + 5i)(1 + -6i) = 0

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 '(1 + -6i)' equal to zero and attempt to solve:

Simplifying
1 + -6i = 0

Solving
1 + -6i = 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 + -6i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6i = 0 + -1
-6i = 0 + -1

Combine like terms: 0 + -1 = -1
-6i = -1

Divide each side by '-6'.
i = 0.1666666667

Simplifying
i = 0.1666666667
Solution
i = {0.6, 0.1666666667}