= 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.)
<h3>x= −1 ( Works in original equation )</h3><h3>x = 10 ( Works in original equation )</h3><h3 />
