(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.