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 subtraction property of equality: Subtract 5 from each side.
\ (Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
Imaginary parts:
\Apply subtraction property of equality: Subtract 1 from each side.
\Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
The values of m and n are and
respectively.