SOLUTION: I am struggling with Algebra and quadratic equations. I do not understand how to solve the following: solve: 3x + x(x-2)= 0 find the x-incercepts of f(x)=3x + x(x-2). The an

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I am struggling with Algebra and quadratic equations. I do not understand how to solve the following: solve: 3x + x(x-2)= 0 find the x-incercepts of f(x)=3x + x(x-2). The an      Log On


   

Question 155386: I am struggling with Algebra and quadratic equations. I do not understand how to solve the following:
solve: 3x + x(x-2)= 0
find the x-incercepts of f(x)=3x + x(x-2).
The answer is 0, -1 as shown in my text but I do not undertand how to arrive at the intercepts, I get 3x + x^2 -2x = x^2 -x =0? This does not look like a quadratic formula.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3x%2Bx%28x-2%29+=+0 Simplify the left side by factoring an x.
x%283%2B%28x-2%29%29+=+0 Simplify.
x%28x%2B1%29+=+0 Apply the zero product rule: If a*b = 0, the either a =0, or b = 0, or both.
x+=+0 or x%2B1+=+0 so x+=+-1
Solution:
x+=+0 x+=+-1