(-6-7i)(4-12i)=

Solution for (-6-7i)(4-12i)= equation:

Simplifying
(-6 + -7i)(4 + -12i) = 0

Multiply (-6 + -7i) * (4 + -12i)
(-6(4 + -12i) + -7i * (4 + -12i)) = 0
((4 * -6 + -12i * -6) + -7i * (4 + -12i)) = 0
((-24 + 72i) + -7i * (4 + -12i)) = 0
(-24 + 72i + (4 * -7i + -12i * -7i)) = 0
(-24 + 72i + (-28i + 84i2)) = 0

Combine like terms: 72i + -28i = 44i
(-24 + 44i + 84i2) = 0

Solving
-24 + 44i + 84i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 11i + 21i2) = 0

Factor a trinomial.
4((-6 + -7i)(1 + -3i)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-6 + -7i)' equal to zero and attempt to solve:

Simplifying
-6 + -7i = 0

Solving
-6 + -7i = 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 + -7i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7i = 0 + 6
-7i = 0 + 6

Combine like terms: 0 + 6 = 6
-7i = 6

Divide each side by '-7'.
i = -0.8571428571

Simplifying
i = -0.8571428571
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 = {-0.8571428571, 0.3333333333}