(х-2)(х+8)=6х

To solve this equation, we need to start by expanding the left-hand side:

(х-2)(х+8) = х^2 + 8х - 2х - 16 = х^2 + 6х - 16

Now we set it to the right side of the equation and rearrange terms:

х^2 + 6х - 16 = 6х

Next, we bring all terms to one side of the equation:

х^2 + 6х - 16 - 6х = 0

Now simplify further:

х^2 - 16 = 0

Next, factorize the equation:

(х-4)(х+4) = 0

Now, set each factor to zero:

х - 4 = 0 or х + 4 = 0

х = 4 or х = -4

Therefore, the solutions for the equation are х = 4 and х = -4.