Solve for a
a=\frac{1275}{b^{2}}
b\neq 0
Solve for b
b=5\sqrt{\frac{51}{a}}
b=-5\sqrt{\frac{51}{a}}\text{, }a>0
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ab^{2}=1275
Swap sides so that all variable terms are on the left hand side.
b^{2}a=1275
The equation is in standard form.
\frac{b^{2}a}{b^{2}}=\frac{1275}{b^{2}}
Divide both sides by b^{2}.
a=\frac{1275}{b^{2}}
Dividing by b^{2} undoes the multiplication by b^{2}.
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