(6-10i)(4-11i)=

Solution for (6-10i)(4-11i)= equation:

Simplifying
(6 + -10i)(4 + -11i) = 0

Multiply (6 + -10i) * (4 + -11i)
(6(4 + -11i) + -10i * (4 + -11i)) = 0
((4 * 6 + -11i * 6) + -10i * (4 + -11i)) = 0
((24 + -66i) + -10i * (4 + -11i)) = 0
(24 + -66i + (4 * -10i + -11i * -10i)) = 0
(24 + -66i + (-40i + 110i2)) = 0

Combine like terms: -66i + -40i = -106i
(24 + -106i + 110i2) = 0

Solving
24 + -106i + 110i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -53i + 55i2) = 0

Factor a trinomial.
2((4 + -11i)(3 + -5i)) = 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 + -5i)' equal to zero and attempt to solve:

Simplifying
3 + -5i = 0

Solving
3 + -5i = 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 + -5i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5i = 0 + -3
-5i = 0 + -3

Combine like terms: 0 + -3 = -3
-5i = -3

Divide each side by '-5'.
i = 0.6

Simplifying
i = 0.6
Solution
i = {0.3636363636, 0.6}