In 1830, Évariste Galois proved that most equations of degree higher than four cannot be solved by radicals, and showed that for each equation, one may decide whether it is solvable by radicals, and, if it is, solve it.
Ring warsa 1830, Évariste Galois muktiang yéning akéhan persamaan sareng derajat sané agengan saking papat nénten prasida kapuputang olih radikal, miwah nujuang yéning anggén sabilang persamaan, jadmané prasida mutusang napiké persamaan punika prasida kapuputang olih radikal, miwah, yening nggih, durusang.