Solve for C
C=4\left(x-3\right)\left(x+4\right)
Solve for x (complex solution)
x=\frac{-\sqrt{C+49}-1}{2}
x=\frac{\sqrt{C+49}-1}{2}
Solve for x
x=\frac{-\sqrt{C+49}-1}{2}
x=\frac{\sqrt{C+49}-1}{2}\text{, }C\geq -49
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C=4x^{2}+4x+1-49
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
C=4x^{2}+4x-48
Subtract 49 from 1 to get -48.
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