SOLUTION: x/(.900-2x)^2 = 4 How do I solve for x?

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Question 267481: x/(.900-2x)^2 = 4 How do I solve for x?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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x/(.900-2x)^2 = 4 How do I solve for x?
:
Assume the problem is:
x%2F%28.900-2x%29%5E2 = 4
FOIL
x%2F%28.81+-+1.8x+-+1.8x+%2B+4x%5E2%29 = 4
:
x%2F%284x%5E2-3.6x%2B.81%29 = 4
:
x = 4(4x^2 - 3.6x + .81)
:
x = 16x^2 - 14.4x + 3.24
:
0 = 16x^2 - 14.4x - x + 3.24
:
16x^2 - 15.4x + 3.24 = 0
:
Solve this using the quadratic formula
Two solutions: x~.652 and x~.311
;
Check both of these in the original equation