SOLUTION: how do you factor 50g^2+40g+8

Question 306304: how do you factor 50g^2+40g+8
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Given:
I would start by reducing the equation. Everything is divisible by 2

Find the factors of 4: 1, 2, 2, 4
Find the factors of 25: 1, 5, 5, 25
Now since the 4 is positive that means that both factors contain both + signs or both - signs.
But since the 20g is positive, both factors can not contain negative signs.
Then you have to see which of your factors fit.

Then you can solve for g by setting the factor to 0 or using the quadratic equation.

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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -0.4, -0.4. Here's your graph:

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