Solve for y
y=\frac{4z\left(x+z\right)+x^{2}+3}{2}
Solve for x
x=-2z+\sqrt{2y-3}
x=-2z-\sqrt{2y-3}\text{, }y\geq \frac{3}{2}
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2y=4z^{2}+4zx+x^{2}+3
Use the distributive property to multiply 4z by z+x.
2y=x^{2}+4xz+4z^{2}+3
The equation is in standard form.
\frac{2y}{2}=\frac{\left(x+2z\right)^{2}+3}{2}
Divide both sides by 2.
y=\frac{\left(x+2z\right)^{2}+3}{2}
Dividing by 2 undoes the multiplication by 2.
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