SOLUTION: Please help! Solve the inequality x^2(8+x)(x-8)/(x+2)(x-5) is greater than and equal to 0

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Question 971229: Please help!
Solve the inequality
x^2(8+x)(x-8)/(x+2)(x-5) is greater than and equal to 0

Answer by khai(18)   (Show Source): You can put this solution on YOUR website!
=[(x^2)(8x-64+x^2-8x)]/[x^2-5x+2x-10]
=(2x^2-64)/(x^2-3x-10)
0=(2x^2-64)/(x^2-3x-10) ----- because the question said that {x^2(8+x)(x-8)/(x+2)(x-5) is greater than and equal to 0}
0=2x^2-64 ----- because zero times anything is zero
64=2x^2
32=x^2
x= sqrt 32 or x= -sqrt 32
which is
x= 5.657 or x= -5.657

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