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Answer:

x1 = -8 and x2 = 9?

= x - 8 / x = 2 / x + 9

= Let's solve your equation step-by-step.

= x − 8x = 2x + 9

= x + − 8x = 2x + 9

Multiply all terms by x and cancel:

xx + −8 = 2 + 9x

x² −8 = 9x + 2 ( Simplify both sides of the equation )

x² − 8 − (9x + 2) = 9x + 2 − (9x + 2) (Subtract 9x+2 from both sides)

x² − 9x − 10 = 0

( x + 1 )( x − 10 ) = 0 (Factor left side of equation)

x +1 = 0 or x − 10 = 0 (Set factors equal to 0)

x = − 1 or x = 10

Check answers. (Plug them in to make sure they work.)

x= −1 ( Works in original equation )

x = 10 ( Works in original equation )

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