#1 - Solve for x:
0.0075 (x^3 - x^2) = 0
0.0075 (x^3 - x^2) = 3/400 (x^3 - x^2):
3/400 (x^3 - x^2) = 0
Multiply both sides by 400/3:
x^3 - x^2 = 0
Factor x^2 from the left hand side:
x^2 (x - 1) = 0
Split into two equations:
x - 1 = 0 or x^2 = 0
Add 1 to both sides:
x = 1 or x^2 = 0
Take the square root of both sides:
x = 1 or x = 0
#2 - Solve for x:
0.0525 x^2 = 0
0.0525 x^2 = (21 x^2)/400:
(21 x^2)/400 = 0
Multiply both sides by 400/21:
x^2 = 0
Take the square root of both sides:
x = 0