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

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

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

Multiply (-6 + -5i) * (-3 + -5i)
(-6(-3 + -5i) + -5i * (-3 + -5i)) = 0
((-3 * -6 + -5i * -6) + -5i * (-3 + -5i)) = 0
((18 + 30i) + -5i * (-3 + -5i)) = 0
(18 + 30i + (-3 * -5i + -5i * -5i)) = 0
(18 + 30i + (15i + 25i2)) = 0

Combine like terms: 30i + 15i = 45i
(18 + 45i + 25i2) = 0

Solving
18 + 45i + 25i2 = 0

Solving for variable 'i'.

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

Subproblem 1
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
Subproblem 2
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
Solution
i = {-1.2, -0.6}