Question

How do you solve `4x^2 + 6x + 2 = 0`?

Answer 1

`x=-1/2` or `x=-1`

Explanation:

Given `4x^2+6x+2 = 0`
We can simplify this by dividing both sides by 2
`color(white)("XXXX")` `2x^2+3x+1 = 0`
The left side can be factored fairly simply as
`color(white)("XXXX")` `(2x+1)(x+1)=0`
Which implies either `(2x+1) = 0`
or `(x+1) = 0`
That is either `x=-1/2`
or `x=-1`