Find all values of x such that 3x^2 + 14x + 8 = x^2 - 2x + 6. If you find more than one value, then list your solutions, separated by commas.
+120 Hi ! So....
3x^2 + 14 x + 8 = x^2 - 2x + 6
First, let's combine like terms :
3x^2 + 14x + 2 = x ^2 - 2x
= 3x ^ 2 + 16x + 2 = x ^ 2
= 2x ^ 2 + 16 x + 2
Now I am assuming that you know the quadratic equation: ax ^ 2 + bx + c = 0
Now we just plug the equation ( 2x^2 + 16x + 2 ) into the quadratic equation :
Sorry, But it will be hard to type the quadratic equation step by step :
But your final outcome will be : ( -4 + sqrt 15 ) or ( -4 - sqrt 15)
If you have trouble on this problem I suggest doing some basic research on the quadratic formula and how to recognize it. 
