(2-(4*i))*(3-(9*i))=

Solution for (2-(4*i))*(3-(9*i))= equation:

Simplifying
(2 + -1(4i))(3 + -1(9i)) = 0

Remove parenthesis around (4i)
(2 + -1 * 4i)(3 + -1(9i)) = 0

Multiply -1 * 4
(2 + -4i)(3 + -1(9i)) = 0

Remove parenthesis around (9i)
(2 + -4i)(3 + -1 * 9i) = 0

Multiply -1 * 9
(2 + -4i)(3 + -9i) = 0

Multiply (2 + -4i) * (3 + -9i)
(2(3 + -9i) + -4i * (3 + -9i)) = 0
((3 * 2 + -9i * 2) + -4i * (3 + -9i)) = 0
((6 + -18i) + -4i * (3 + -9i)) = 0
(6 + -18i + (3 * -4i + -9i * -4i)) = 0
(6 + -18i + (-12i + 36i2)) = 0

Combine like terms: -18i + -12i = -30i
(6 + -30i + 36i2) = 0

Solving
6 + -30i + 36i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -5i + 6i2) = 0

Factor a trinomial.
6((1 + -3i)(1 + -2i)) = 0

Ignore the factor 6.
Subproblem 1
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
Subproblem 2
Set the factor '(1 + -2i)' equal to zero and attempt to solve:

Simplifying
1 + -2i = 0

Solving
1 + -2i = 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 + -2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2i = 0 + -1
-2i = 0 + -1

Combine like terms: 0 + -1 = -1
-2i = -1

Divide each side by '-2'.
i = 0.5

Simplifying
i = 0.5
Solution
i = {0.3333333333, 0.5}