(6+4i)(-1-3i)=

Solution for (6+4i)(-1-3i)= equation:

Simplifying
(6 + 4i)(-1 + -3i) = 0

Multiply (6 + 4i) * (-1 + -3i)
(6(-1 + -3i) + 4i * (-1 + -3i)) = 0
((-1 * 6 + -3i * 6) + 4i * (-1 + -3i)) = 0
((-6 + -18i) + 4i * (-1 + -3i)) = 0
(-6 + -18i + (-1 * 4i + -3i * 4i)) = 0
(-6 + -18i + (-4i + -12i2)) = 0

Combine like terms: -18i + -4i = -22i
(-6 + -22i + -12i2) = 0

Solving
-6 + -22i + -12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(3 + 11i + 6i2) = 0

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

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

Simplifying
3 + 2i = 0

Solving
3 + 2i = 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 + 2i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2i = 0 + -3
2i = 0 + -3

Combine like terms: 0 + -3 = -3
2i = -3

Divide each side by '2'.
i = -1.5

Simplifying
i = -1.5
Subproblem 2
Set the factor '(1 + 3i)' equal to zero and attempt to solve:

Simplifying
1 + 3i = 0

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

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

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

Divide each side by '3'.
i = -0.3333333333

Simplifying
i = -0.3333333333
Solution
i = {-1.5, -0.3333333333}