The equation is .
To find the value of m and n set the real parts equal to each other
\and the imaginary parts equal to each other.
Real parts:
\Apply division property of equality: if a = b, then.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
Imaginary parts:
\Apply subtraction property of equality: if then
.
(Subtract 1 from each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Subtract:
)
Apply division property of equality: if a = b, then.
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
The values of m and n are 3 and respectively.