Solve for y
y=\frac{\left(x+2\right)\left(x+6\right)}{4}
Solve for x (complex solution)
x=2\sqrt{y+1}-4
x=-2\sqrt{y+1}-4
Solve for x
x=2\sqrt{y+1}-4
x=-2\sqrt{y+1}-4\text{, }y\geq -1
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4y-12=x^{2}+8x
Swap sides so that all variable terms are on the left hand side.
4y=x^{2}+8x+12
Add 12 to both sides.
\frac{4y}{4}=\frac{\left(x+2\right)\left(x+6\right)}{4}
Divide both sides by 4.
y=\frac{\left(x+2\right)\left(x+6\right)}{4}
Dividing by 4 undoes the multiplication by 4.
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Limits
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