(6+51)(3-2i)=0

Solution for (6+51)(3-2i)=0 equation:

Simplifying
(6 + 51)(3 + -2i) = 0

Combine like terms: 6 + 51 = 57
(57)(3 + -2i) = 0
(3 * 57 + -2i * 57) = 0
(171 + -114i) = 0

Solving
171 + -114i = 0

Solving for variable 'i'.

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

Add '-171' to each side of the equation.
171 + -171 + -114i = 0 + -171

Combine like terms: 171 + -171 = 0
0 + -114i = 0 + -171
-114i = 0 + -171

Combine like terms: 0 + -171 = -171
-114i = -171

Divide each side by '-114'.
i = 1.5

Simplifying
i = 1.5