Questions on Algebra: Quadratic Equation answered by real tutors!

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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.
: 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(3716) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
3x+x(x-2) = 0 Simplify the left side by factoring an x.
x(3+(x-2)) = 0 Simplify.
x(x+1) = 0 Apply the zero product rule: If a*b = 0, the either a =0, or b = 0, or both.
x = 0 or x+1 = 0 so x = -1
Solution:
x = 0 x = -1