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

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

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

Multiply (4 + -1i) * (6 + -6i)
(4(6 + -6i) + -1i * (6 + -6i)) = 0
((6 * 4 + -6i * 4) + -1i * (6 + -6i)) = 0
((24 + -24i) + -1i * (6 + -6i)) = 0
(24 + -24i + (6 * -1i + -6i * -1i)) = 0
(24 + -24i + (-6i + 6i2)) = 0

Combine like terms: -24i + -6i = -30i
(24 + -30i + 6i2) = 0

Solving
24 + -30i + 6i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6'.
6(4 + -5i + i2) = 0

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

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

Simplifying
4 + -1i = 0

Solving
4 + -1i = 0

Move all terms containing i to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -1i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1i = 0 + -4
-1i = 0 + -4

Combine like terms: 0 + -4 = -4
-1i = -4

Divide each side by '-1'.
i = 4

Simplifying
i = 4
Solution
i = {1, 4}