(3-5i)(6+10i)=

Solution for (3-5i)(6+10i)= equation:

Simplifying
(3 + -5i)(6 + 10i) = 0

Multiply (3 + -5i) * (6 + 10i)
(3(6 + 10i) + -5i * (6 + 10i)) = 0
((6 * 3 + 10i * 3) + -5i * (6 + 10i)) = 0
((18 + 30i) + -5i * (6 + 10i)) = 0
(18 + 30i + (6 * -5i + 10i * -5i)) = 0
(18 + 30i + (-30i + -50i2)) = 0

Combine like terms: 30i + -30i = 0
(18 + 0 + -50i2) = 0
(18 + -50i2) = 0

Solving
18 + -50i2 = 0

Solving for variable 'i'.

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

Add '-18' to each side of the equation.
18 + -18 + -50i2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -50i2 = 0 + -18
-50i2 = 0 + -18

Combine like terms: 0 + -18 = -18
-50i2 = -18

Divide each side by '-50'.
i2 = 0.36

Simplifying
i2 = 0.36

Take the square root of each side:
i = {-0.6, 0.6}