Solve for z
z=\left(1+i\right)m^{2}+\left(-4-i\right)m-6i
Solve for m
m=\left(\frac{1}{4}-\frac{1}{4}i\right)\sqrt{\left(4+4i\right)z+\left(-9+32i\right)}+\left(\frac{5}{4}-\frac{3}{4}i\right)
m=\left(-\frac{1}{4}+\frac{1}{4}i\right)\sqrt{\left(4+4i\right)z+\left(-9+32i\right)}+\left(\frac{5}{4}-\frac{3}{4}i\right)
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z=m^{2}\left(1+i\right)+\left(-4-i\right)m-6i
Multiply -1 and 4+i to get -4-i.
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