I'll note, first, the Brown v. Board of Education  was a unanimous 9-0 decision by the Warren Court and, second, that 9-0 decisions number as the most plurality decision of the Court over the last 150 years since a 9-justiceCourt was established in 1869. No other ratio of decisions has a greater plurality. In fact, in the last 50 years, the Court has settled cases with unanimous decisions 59% of the time; a clear majority. So much for the political bias argument the Court is often accused of having, regardless of subject matter.
Brown v Board of Education was chiefly an argument over the established "separate but equal" condition that found precedent in Plessy v Furguson , in which Plessy, a person who was 7/8 white, and therefore deemed black [go figure!], sat in a white trolley car, marked as such, when the law demanded that he sit in a car marked for blacks. Being 7/8 white, what do you think Plessy looked like? Google him; there's a photo of the man. You decide. The argument was that each car was equal in every respect relative to its facilities, thus meeting "separate but equal" conditions. That argument died with Furguson by the simple argument that the designating signs, themselves declared inequality. Brown v. Board of Education was not at all wrong. The entire decision-making process was made, not by legal mumbo-jumbo argument, but argument of common sense so the people would understand it more fully.