solve

(x+4) (x+7) (x+8) ( x+11) +20=0

100
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x=-50
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(x+11)(x+4)(x+8)(x+7)+20=0
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just multiply all the terms and solve the polynomial
 
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x=-6, x=-9, x=(-15-√41)/2, x=(-15+√41)/2

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What......
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What are you looking for?