SOLUTION: solve by factoring x^2+7x+10=0

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Question 145774: solve by factoring

x^2+7x+10=0

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Factor the left side. If you need me to go in depth about factoring, please let me know.


or Set each factor equal to zero. Remember, if then either or .


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Let's solve the 1st equation


Start with the given equation.


Subtract from both sides.


So our 1st answer is .


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Now let's solve the 2nd equation


Start with the given equation.


Subtract from both sides.


So our 2nd answer is .


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Answer:


So our answers are:


or


Notice that when we graph , we can see that the graph crosses the x-axis at and . So this visually verifies our answer.

Graph of

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