Solve for P
P=15+6g^{2}-4q
Solve for g (complex solution)
g=-\frac{\sqrt{6\left(4q+P-15\right)}}{6}
g=\frac{\sqrt{6\left(4q+P-15\right)}}{6}
Solve for g
g=\frac{\sqrt{6\left(4q+P-15\right)}}{6}
g=-\frac{\sqrt{6\left(4q+P-15\right)}}{6}\text{, }q\geq \frac{15-P}{4}
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6g^{2}-4q+15=P
Multiply 2 and 3 to get 6.
P=6g^{2}-4q+15
Swap sides so that all variable terms are on the left hand side.
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