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

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

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

Multiply (-7 + -7i) * (6 + -4i)
(-7(6 + -4i) + -7i * (6 + -4i)) = 0
((6 * -7 + -4i * -7) + -7i * (6 + -4i)) = 0
((-42 + 28i) + -7i * (6 + -4i)) = 0
(-42 + 28i + (6 * -7i + -4i * -7i)) = 0
(-42 + 28i + (-42i + 28i2)) = 0

Combine like terms: 28i + -42i = -14i
(-42 + -14i + 28i2) = 0

Solving
-42 + -14i + 28i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '14'.
14(-3 + -1i + 2i2) = 0

Factor a trinomial.
14((-1 + -1i)(3 + -2i)) = 0

Ignore the factor 14.
Subproblem 1
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
Subproblem 2
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
Solution
i = {-1, 1.5}