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Question

Solve for x: 3x+1+32x+1=270

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Solution

3x+1+32x+1=270.
3.3x+32x.3=270
3x+32x=90

Substituting 3x=a we get a+a2=90
a2+a90=0a2+10a9a90=0
(a+10)(a9)=0a=9 or a=10

If 3x=9 then x = 2 If 3x=10 which is not possible
x=2

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