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

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

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

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

Combine like terms: -18i + -30i = -48i
(18 + -48i + 30i2) = 0

Solving
18 + -48i + 30i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6'.
6(3 + -8i + 5i2) = 0

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

Ignore the factor 6.
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 + -1i)' equal to zero and attempt to solve:

Simplifying
1 + -1i = 0

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

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

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

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

Simplifying
i = 1
Solution
i = {0.6, 1}