(4-11i)(6+2i)=

Solution for (4-11i)(6+2i)= equation:

Simplifying
(4 + -11i)(6 + 2i) = 0

Multiply (4 + -11i) * (6 + 2i)
(4(6 + 2i) + -11i * (6 + 2i)) = 0
((6 * 4 + 2i * 4) + -11i * (6 + 2i)) = 0
((24 + 8i) + -11i * (6 + 2i)) = 0
(24 + 8i + (6 * -11i + 2i * -11i)) = 0
(24 + 8i + (-66i + -22i2)) = 0

Combine like terms: 8i + -66i = -58i
(24 + -58i + -22i2) = 0

Solving
24 + -58i + -22i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -29i + -11i2) = 0

Factor a trinomial.
2((4 + -11i)(3 + i)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(4 + -11i)' equal to zero and attempt to solve:

Simplifying
4 + -11i = 0

Solving
4 + -11i = 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 + -11i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -11i = 0 + -4
-11i = 0 + -4

Combine like terms: 0 + -4 = -4
-11i = -4

Divide each side by '-11'.
i = 0.3636363636

Simplifying
i = 0.3636363636
Subproblem 2
Set the factor '(3 + i)' equal to zero and attempt to solve:

Simplifying
3 + i = 0

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

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

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

Simplifying
i = -3
Solution
i = {0.3636363636, -3}