Solve for z
z=\frac{t^{2}}{2}
t\neq 0
Solve for t (complex solution)
t=-\sqrt{2z}
t=\sqrt{2z}\text{, }z\neq 0
Solve for t
t=\sqrt{2z}
t=-\sqrt{2z}\text{, }z>0
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2z=tt
Multiply both sides of the equation by 2t, the least common multiple of t,2.
2z=t^{2}
Multiply t and t to get t^{2}.
\frac{2z}{2}=\frac{t^{2}}{2}
Divide both sides by 2.
z=\frac{t^{2}}{2}
Dividing by 2 undoes the multiplication by 2.
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