Solve for a
a=-8+6i-ib
Solve for b
b=ia+\left(6+8i\right)
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a+bi=-8+6i
Swap sides so that all variable terms are on the left hand side.
a=-8+6i-bi
Subtract bi from both sides.
a=-8+6i-ib
Multiply -1 and i to get -i.
a+bi=-8+6i
Swap sides so that all variable terms are on the left hand side.
bi=-8+6i-a
Subtract a from both sides.
ib=-8+6i-a
The equation is in standard form.
\frac{ib}{i}=\frac{-8+6i-a}{i}
Divide both sides by i.
b=\frac{-8+6i-a}{i}
Dividing by i undoes the multiplication by i.
b=ia+\left(6+8i\right)
Divide -8+6i-a by i.
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