Solve for y
y=6\left(x-3\right)^{2}-5
Solve for x (complex solution)
x=-\frac{\sqrt{6y+30}}{6}+3
x=\frac{\sqrt{6y+30}}{6}+3
Solve for x
x=-\frac{\sqrt{6y+30}}{6}+3
x=\frac{\sqrt{6y+30}}{6}+3\text{, }y\geq -5
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y=6\left(x^{2}-6x+9\right)-5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
y=6x^{2}-36x+54-5
Use the distributive property to multiply 6 by x^{2}-6x+9.
y=6x^{2}-36x+49
Subtract 5 from 54 to get 49.
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