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Solve: 32x228(3x2)+3=0...

Solve: 32x228(3x2)+3=0

A.

x = -2 or x = 1

B.

x = 0 or x = -3

C.

x = 2 or x = 1

D.

x = 0 or x = 3

Correct answer is D

32x228(3x2)+3=0

32x3228.3x32+3=0

32x928.3x9+3=0

let p = 3x

p2928p9+3=0

multiply through by 9
p2 - 28p + 27 = 0
p2 - p - 27p + 27 = 0
p (p - 1) - 27(p - 1) = 0
(p-1)(p-27) = 0
p = 1 or 27
when p = 1
p = 3x
3x = 1
3x = 30
x = 0
when p = 27
3x = 27
3x = 33
x = 3