SOLUTION: How would I factor {{{ 5x^2+5x=20 }}} I was thinking that I would move the 20 to the other side of the equal sign so that it would look like {{{ 5x^2+5x-20=0 }}} and then factor

Algebra.Com
Question 164492: How would I factor I was thinking that I would move the 20 to the other side of the equal sign so that it would look like and then factor it from there, but even then I'm still stuck on the factoring. Please help thank you.
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!

So far, so good.
.
Factor out a 5:

.
That's as far as you can go. To solve you would need the apply the "quadratic equation".
.
Doing so, would yield:
x = {1.562, -2.562}
.
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=17 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.56155281280883, -2.56155281280883. Here's your graph:
RELATED QUESTIONS

I need help solving 3(P-2)=P+7 ok so I have 3P-6+P+7 then you would move the P to the... (answered by rfer)
Ok, my question is in spanish but I will translate it as much as possible. It is stated... (answered by stanbon)
If I have -(x+3)^2+5 how do I make a vertical compression that restricts to 20% of the... (answered by solver91311)
I was asked to find the square root of my equation which is 4x^2-8x+4=56. I know that I... (answered by jorel1380)
My Algebra problem: 3.6 / .9 = 1 / ? Now I know the solution is .25... (answered by solver91311)
x+3= sqrt (1-3x) First i squared both sides of the equation and got x^2+6x+9=1-3x... (answered by Alan3354)
May you explain to me how to slove 5x=4+(2x+2)? I don't really understand,how to do it... (answered by jim_thompson5910)
This is not a homework question. I am trying to figure out how many laps I have to walk... (answered by Alan3354)
Solve using the elimination method. Show your work. If the system has no solution or an... (answered by Edwin McCravy)