Find all real numbers a that satisfy 1/(a^3 + 7) - 7 = -a^3/(a^3 + 7) + 5.
Notice how a long of the terms share a denominator of a^3 + 7, so we can multiply every term in the equation by a^3 + 7.
1 - 7(a^3 + 7) = -a^3 + 5(a^3 + 7)
a^3 + 1 = 12(a^3 + 7)
a^3 + 1 = 12a^3 + 84
11a^3 = -83
a = cube root of -83/11
