# How do you solve 3x^2 – 6x + 3 = 0?

Aug 2, 2015

There is one solution for this expression:
color(green)(x=1

#### Explanation:

3x^2–6x+3=0

We can first factorise the above expression and then proceed towards finding the solutions:

Factorising by splitting the middle term

3x^2–color(green)(6x)+3=0

3x^2–color(green)(3x - 3x)+3=0

$3 x \left(x - 1\right) - 3 \left(x - 1\right) = 0$

$\left(x - 1\right)$ is common to both terms.

color(green)((3x-3) (x-1) is the factorised form for the expression.

Now we can equate the factors with zero and find the solutions:
3x-3 = 0 , x=3/3, color(green)(x=1
x-1 = 0 , color(green)(x=1