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#1   0.0075(x^3-x^2)

#2   0.0075(7x^2)

 

Solve 

 Dec 3, 2018
 #1
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#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

 Dec 3, 2018

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