(2-7i)(3-8i)=

Solution for (2-7i)(3-8i)= equation:

Simplifying
(2 + -7i)(3 + -8i) = 0

Multiply (2 + -7i) * (3 + -8i)
(2(3 + -8i) + -7i * (3 + -8i)) = 0
((3 * 2 + -8i * 2) + -7i * (3 + -8i)) = 0
((6 + -16i) + -7i * (3 + -8i)) = 0
(6 + -16i + (3 * -7i + -8i * -7i)) = 0
(6 + -16i + (-21i + 56i2)) = 0

Combine like terms: -16i + -21i = -37i
(6 + -37i + 56i2) = 0

Solving
6 + -37i + 56i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2 + -7i)(3 + -8i) = 0

Subproblem 1
Set the factor '(2 + -7i)' equal to zero and attempt to solve:

Simplifying
2 + -7i = 0

Solving
2 + -7i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7i = 0 + -2
-7i = 0 + -2

Combine like terms: 0 + -2 = -2
-7i = -2

Divide each side by '-7'.
i = 0.2857142857

Simplifying
i = 0.2857142857
Subproblem 2
Set the factor '(3 + -8i)' equal to zero and attempt to solve:

Simplifying
3 + -8i = 0

Solving
3 + -8i = 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 + -8i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8i = 0 + -3
-8i = 0 + -3

Combine like terms: 0 + -3 = -3
-8i = -3

Divide each side by '-8'.
i = 0.375

Simplifying
i = 0.375
Solution
i = {0.2857142857, 0.375}