The equation is
To find the value of n and m set the real parts equal to each other
\and the imaginary parts equal to each other.
Real parts:
\Apply Addition property of equality: if a = b then a + c = b + c.
\ (Add 5 to each side)
(Add: 3 + 5 = 8)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
Apply division property of equality: if a = b, then.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
Imaginary parts:
\Apply Addition property of equality: if a = b then a + c = b + c.
\ (Add 2 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
The values of n and m are 4 and 5 respectively.