Try something like this.
tblAssetCustom.State = 1
AND (tblSoftwareUni.softwareName LIKE 'Adobe Reader%'
OR tblSoftwareUni.softwareName LIKE 'Indesign%'
OR tblSoftwareUni.softwareName LIKE 'Photoshop%'
)
You only want to evaluate active assets, so you need the state=1 check clearly separated from the software name check. You want to check for any of multiple possible conditions, so you want to OR the software checks: if
any one of the OR'd conditions is true, the block in parenthesis is true, so you've got a match.