Decompose rational expressions into partial fractions
Find every coefficient in the stated real partial-fraction decomposition. Zero and fractional coefficients are allowed
\[\frac{\frac{3}{2}x+\frac{9}{2}}{(2x+2)(x+3)}=\frac{A}{2x+2}+\frac{B}{x+3}\]
\[x\ne -3,-1\]