SOLUTION: I need help solving this quadratic equation: {{{4x^2+8x+2=0}}}

Question 223957: I need help solving this quadratic equation:
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

First, determine whether there is anything common among all three terms -- yes, they all have the common multiple of 2. Therefore, divide both sides by 2 to get:

Since we can't factor, we must resort to the quadratic equation.
Doing so yields:
x = {-0.293, -1.707}
.
Details of the quadratic equation to follow:

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=8 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.292893218813452, -1.70710678118655. Here's your graph:

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