Solve the rational equation 5 divided by x equals quantity 4 times x plus 1 end quantity divided by x squared, and check for extraneous solutions. x = 1; x = 0 is an extraneous solution x = 0; x = 1 is an extraneous solution x = −1; x = 0 is an extraneous solution x = 0; x = −1 is an extraneous solution