Solve for y
y=3\left(\left(x+4\right)^{2}+2\right)
Solve for x (complex solution)
x=-\frac{\sqrt{3y-18}}{3}-4
x=\frac{\sqrt{3y-18}}{3}-4
Solve for x
x=-\frac{\sqrt{3y-18}}{3}-4
x=\frac{\sqrt{3y-18}}{3}-4\text{, }y\geq 6
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y=3\left(x^{2}+8x+16\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
y=3x^{2}+24x+48+6
Use the distributive property to multiply 3 by x^{2}+8x+16.
y=3x^{2}+24x+54
Add 48 and 6 to get 54.
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