Evaluate
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{12}{5}
Expand
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{12}{5}
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\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{1-1}{1+2i}+\frac{12}{5}
Divide 4x by 1-2i to get \left(\frac{4}{5}+\frac{8}{5}i\right)x.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{0}{1+2i}+\frac{12}{5}
Subtract 1 from 1 to get 0.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+0+\frac{12}{5}
Zero divided by any non-zero number gives zero.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{12}{5}
Add 0 and \frac{12}{5} to get \frac{12}{5}.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{1-1}{1+2i}+\frac{12}{5}
Divide 4x by 1-2i to get \left(\frac{4}{5}+\frac{8}{5}i\right)x.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{0}{1+2i}+\frac{12}{5}
Subtract 1 from 1 to get 0.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+0+\frac{12}{5}
Zero divided by any non-zero number gives zero.
\left(\frac{4}{5}+\frac{8}{5}i\right)x+\frac{12}{5}
Add 0 and \frac{12}{5} to get \frac{12}{5}.
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Limits
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