What is 3/x+6=x/9?

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

3x+6=x9

Step 1: Cross-multiply.

3x+6=x9

(3) * (9) = x * (x+6)

27=x2+6x

Step 2: Subtract x^2+6x from both sides.

27 - (x2+6x) = x2+6x - (x2+6x)

-x2-6x+27=0

Step 3: Factor left side of equation.

(-x+3) (x+9) = 0

Step 4: Set factors equal to 0.

-x+3=0 or x+9=0

x=3 or x=-9