Solve for F
F=\frac{g}{h+2}
h\neq -2
Solve for g
g=F\left(h+2\right)
h\neq -2
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g=F\left(h+2\right)
Multiply both sides of the equation by h+2.
g=Fh+2F
Use the distributive property to multiply F by h+2.
Fh+2F=g
Swap sides so that all variable terms are on the left hand side.
\left(h+2\right)F=g
Combine all terms containing F.
\frac{\left(h+2\right)F}{h+2}=\frac{g}{h+2}
Divide both sides by 2+h.
F=\frac{g}{h+2}
Dividing by 2+h undoes the multiplication by 2+h.
g=F\left(h+2\right)
Multiply both sides of the equation by h+2.
g=Fh+2F
Use the distributive property to multiply F by h+2.
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