A variable transmission comprises an input shaft; three planetary gear sets; a Ravigneaux gear set; a variator comprising, a first ring assembly, a second ring assembly, a carrier assembly; various arrangements of brakes and clutches; and the output shaft. The variable transmissions comprise a continuously variable mode, an infinitely variable mode, or a combination thereof and can provide an input-coupled powersplit solution function. +Add the mention that there is a direct drive mode in one of the configuration.