Solve the quadratic equation: x^2 - 6x + 8 = 0
To solve the quadratic equation x^2 - 6x + 8 = 0, we can use factoring.

First, find two numbers that multiply to 8 and add up to -6. These numbers are -4 and -2.

Now, rewrite the middle term of the equation using these numbers:

x^2 - 4x - 2x + 8 = 0

Next, factor by grouping:

x(x - 4) - 2(x - 4) = 0

Factor out the common term (x - 4):

(x - 4)(x - 2) = 0

Now, set each factor equal to zero and solve for x:

x - 4 = 0 => x = 4
x - 2 = 0 => x = 2

So, the solutions to the quadratic equation x^2 - 6x + 8 = 0 are x = 4 and x = 2.