To solve this equation, let's factor the left side.
Although you can factor it in different ways, I will show you a trick.
First, forget about the 3 and we have x² - 8x + 5.
Now, multiply the 3 by the constant to get 15.
So we have x² - 8x + 15.
Now factor to get (x - 5)(x - 3).
Now divide each of the constants in the
binomials by the leading coefficient, 3.
So we have (x - 5/3)(x - 3/3).
Simplify to get (x - 5/3)(x - 1).
Now move any denominators in front of the x in the binomial.
Moving the 3 in front of the x, we have 3x.
So our answer is (3x - 5)(x - 1) = 0.
So either 3x - 5 = 0 or x - 1 = 0.
Solving from here, we get x = 5/3 or x = 1.
