Can you please help me with the steps to working this equation?

x + 8/x = -9

2 answers

First, LCD = x
x(x)+ x(8/x) = x(-9)
x^2+8 = -9x
Now add 9x both
x^2+9x+8 = 0
Factor: (x+8)(x+1) = 0
x+ 8 = 0. x+1= 0
x+8-8 = 0-8. x+1-1 = 0-1
x= -8. x= -1
x= -8, -1
Another way :

x + 8 / x = - 9 Multiply both sides by x

x ^ 2 + 8 = - 9 x Add 9 x to both sides

x ^ 2 + 8 + 9 x = - 9 x + 9 x

x ^ 2 + 9 x + 8 = 0

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x ^ 2 + 9 x + 8 = 0

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