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Bot GPT 3.5 To solve the equation `x(x-6)=-8`, we can expand the left side and bring all terms to one side of the equation.
x^2 - 6x = -8
Rearranging the equation:
x^2 - 6x + 8 = 0
Now, we will factorize the quadratic expression.
(x - 4)(x - 2) = 0
Setting each factor equal to zero:
x - 4 = 0 or x - 2 = 0
Solving for x:
x = 4 or x = 2
The solutions to the equation x(x-6)=-8 are x = 4 and x = 2.