(3+4i)(2-15i)=

Solution for (3+4i)(2-15i)= equation:

Simplifying
(3 + 4i)(2 + -15i) = 0

Multiply (3 + 4i) * (2 + -15i)
(3(2 + -15i) + 4i * (2 + -15i)) = 0
((2 * 3 + -15i * 3) + 4i * (2 + -15i)) = 0
((6 + -45i) + 4i * (2 + -15i)) = 0
(6 + -45i + (2 * 4i + -15i * 4i)) = 0
(6 + -45i + (8i + -60i2)) = 0

Combine like terms: -45i + 8i = -37i
(6 + -37i + -60i2) = 0

Solving
6 + -37i + -60i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2 + -15i)(3 + 4i) = 0

Subproblem 1
Set the factor '(2 + -15i)' equal to zero and attempt to solve:

Simplifying
2 + -15i = 0

Solving
2 + -15i = 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 + -15i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -15i = 0 + -2
-15i = 0 + -2

Combine like terms: 0 + -2 = -2
-15i = -2

Divide each side by '-15'.
i = 0.1333333333

Simplifying
i = 0.1333333333
Subproblem 2
Set the factor '(3 + 4i)' equal to zero and attempt to solve:

Simplifying
3 + 4i = 0

Solving
3 + 4i = 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 + 4i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4i = 0 + -3
4i = 0 + -3

Combine like terms: 0 + -3 = -3
4i = -3

Divide each side by '4'.
i = -0.75

Simplifying
i = -0.75
Solution
i = {0.1333333333, -0.75}