SOLUTION: I have to solve this without using the quadratic equation and really just dont know how to. Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: I have to solve this without using the quadratic equation and really just dont know how to. Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)       Log On


   

Question 188099: I have to solve this without using the quadratic equation and really just dont know how to.
Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28+x%5E2-2x+%29%28+x+%2B+3%29+=+-2x+%28+x+%2B+1%29+ Start with the given equation


x%5E3%2B3x%5E2-2x%5E2-6x+=+-2x+%28+x+%2B+1%29+ FOIL


x%5E3%2B3x%5E2-2x%5E2-6x+=+-2x%5E2-2x+ Distribute


x%5E3%2B3x%5E2-2x%5E2-6x%2B2x%5E2%2B2x=0 Get everything to the left side


x%5E3%2B3x%5E2-4x=0 Combine like terms.


x%28x%5E2%2B3x-4%29=0 Factor out the GCF "x"


x=0 or x%5E2%2B3x-4=0 Set each factor equal to zero


So the first solution is x=0

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Now let's solve x%5E2%2B3x-4=0


%28x%2B4%29%28x-1%29=0 Factor the left side


x%2B4=0 or x-1=0 Set each factor equal to zero


x=-4 or x=1 Solve for "x" in each equation



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Answer:


So the solutions are x=0, x=-4, or x=1