SOLUTION: Please help me solve this equation: (x + 1)(x + 3)(x + 5)(x + 7) = 9
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Question 872881: Please help me solve this equation: (x + 1)(x + 3)(x + 5)(x + 7) = 9
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
(x + 1)(x + 3)(x + 5)(x + 7) = 9
(x+1)(x+7)(x+3)(x+5)=9
(x^2+8x+7)(x^2+8x+15)=9
let x^2+8x=a
(a+7)(a+15)=9
a^2+22a+105=9
a^2+22a+96=0
a^2-16x-6x+96=0
a(a-16)-6(a-16)=0
(a-16)(a-6)=0
(x^2+8x-16)(x^2+8x-6)=0
each factor can be zero
solve both the factors by formula method you will get four vaues for x
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