Question

[T]here are findings below that the Negro and white schools involved have been equalized, or are being equalized, with respect to buildings, curricula, qualifications and salaries of teachers, and other "tangible" factors.

The Supreme Court is most likely interested in these findings because it hopes to determine whether
outdated schools can compete in modern society.
students of varying races have similar aptitudes.
teachers treat students of varying backgrounds equally.
separate systems of education can be equal.

Answer 1

Separate systems of education can be equal. The Court was addressing whether segregation could truly be "equal" even if tangible factors (buildings, curricula, teacher pay) were made equivalent.