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

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

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

Multiply (2 + -4i) * (-6 + 4i)
(2(-6 + 4i) + -4i * (-6 + 4i)) = 0
((-6 * 2 + 4i * 2) + -4i * (-6 + 4i)) = 0
((-12 + 8i) + -4i * (-6 + 4i)) = 0
(-12 + 8i + (-6 * -4i + 4i * -4i)) = 0
(-12 + 8i + (24i + -16i2)) = 0

Combine like terms: 8i + 24i = 32i
(-12 + 32i + -16i2) = 0

Solving
-12 + 32i + -16i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 8i + -4i2) = 0

Factor a trinomial.
4((-3 + 2i)(1 + -2i)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {1.5, 0.5}