The math help thread

Several roots.

reduction = 0.7*(L/1300 + 8/9*n)*(d-P) + (n*d)
= 0.7*(L/1300 + 8/9*n)*d + n*d - 0.7*(L/1300 + 8/9*n)*P
reduction + 0.7*(L/1300 + 8/9*n)*P = 0.7(L/1300 + 146/63*n)*d
1. d = (reduction + 0.7P*(L/1300 + 8/9*n)) / 0.7(L/1300 + 146/63*n)
(only if resulting expression is greater than or equal to P)

reduction = 1.3*(L/550 + n)*(d-P) + n*d
= 1.3*(L/550+n)*d - 1.3*(L/550+n)*P + n*d
reduction + 1.3P*(L/550+n) = (1.3*L/550 + 2.3*n)*d
2. d = (reduction + 1.3P*L/550 + 1.3*n)) / (1.3*L/550 + 2.3*n)
(only if L < 15 and the resulting expression is less than P)

Same thing with the third one I'm too lazy
-goes to play S4-