SOLUTION: I have to solve the equation by factoring first and then applying the zero product principle. so, can someone help me solve x^3 +x^2-7x=7. any help would be appreciated.

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Question 112057: I have to solve the equation by factoring first and then applying the zero product principle. so, can someone help me solve x^3 +x^2-7x=7. any help would be appreciated.
Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Factor:
Subtract 7 from both sides.
Factor by grouping.
Factor from the first group and 7 from the second group.
Now factor the common factor of
Now apply the zero products principle.
or
If then
if then so or
The three roots are:



Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve x^3 +x^2-7x=7
x^3+x^2-7x-7=0
x(x+1)-7(x+1)=0
(x+1)(x-7)=0
x = -1 or x=7
================
Cheerd,
Stan H.

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