The statement that the amendment process requires unanimous consent from states is false.
According to Article V of the U.S. Constitution, amendments can be proposed either by a two-thirds majority in both houses of Congress or by a convention called for by two-thirds of state legislatures. After an amendment is proposed, it must be ratified by three-fourths (or 38 out of 50) of the state legislatures or by conventions in three-fourths of the states.
Unanimous consent is not required; only a supermajority is needed for both the proposal and the ratification stages.