eq1: x^(2) / 9 + y^(2) / 4 + z^(2) / 16 = 1
eq2: x^(2) / 9 + y^(2) / 4 + z^(2) / 16 + (0.5 * x) + (0.2 * x) = 1
eq3: x^(2) / 9 + y^(2) / 4 + z^(2) / 25 + (0.1 * x) = 1
eq4: (x^(2) + (12 * x)) / 4 + y^(2) / 16 + ((z^(2) * 2)) / 16 = 0.5