(3-4i)(2+I)=0

Solution for (3-4i)(2+I)=0 equation:

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

Multiply (3 + -4i) * (2 + I)
(3(2 + I) + -4i * (2 + I)) = 0
((2 * 3 + I * 3) + -4i * (2 + I)) = 0
((6 + 3I) + -4i * (2 + I)) = 0
(6 + 3I + (2 * -4i + I * -4i)) = 0
(6 + 3I + (-8i + -4iI)) = 0
(6 + 3I + -8i + -4iI) = 0

Solving
6 + 3I + -8i + -4iI = 0

Solving for variable 'I'.

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

Add '-6' to each side of the equation.
6 + 3I + -8i + -6 + -4iI = 0 + -6

Reorder the terms:
6 + -6 + 3I + -8i + -4iI = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3I + -8i + -4iI = 0 + -6
3I + -8i + -4iI = 0 + -6

Combine like terms: 0 + -6 = -6
3I + -8i + -4iI = -6

Add '8i' to each side of the equation.
3I + -8i + 8i + -4iI = -6 + 8i

Combine like terms: -8i + 8i = 0
3I + 0 + -4iI = -6 + 8i
3I + -4iI = -6 + 8i

Reorder the terms:
6 + 3I + -8i + -4iI = -6 + 8i + 6 + -8i

Reorder the terms:
6 + 3I + -8i + -4iI = -6 + 6 + 8i + -8i

Combine like terms: -6 + 6 = 0
6 + 3I + -8i + -4iI = 0 + 8i + -8i
6 + 3I + -8i + -4iI = 8i + -8i

Combine like terms: 8i + -8i = 0
6 + 3I + -8i + -4iI = 0

The solution to this equation could not be determined.