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) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2B7x%2B10=0 Start with the given equation.


%28x%2B5%29%2A%28x%2B2%29=0 Factor the left side. If you need me to go in depth about factoring, please let me know.


x%2B5=0 or x%2B2=0 Set each factor equal to zero. Remember, if A%2AB=0 then either A=0 or B=0.


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Let's solve the 1st equation x%2B5=0


x%2B5=0 Start with the given equation.


x=-5 Subtract 5 from both sides.


So our 1st answer is x=-5.


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Now let's solve the 2nd equation x%2B2=0


x%2B2=0 Start with the given equation.


x=-2 Subtract 2 from both sides.


So our 2nd answer is x=-2.


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Answer:


So our answers are:


x=-5 or x=-2


Notice that when we graph y=x%5E2%2B7x%2B10, we can see that the graph crosses the x-axis at x=-5 and x=-2. So this visually verifies our answer.

graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2%2B7x%2B10%29 Graph of y=x%5E2%2B7x%2B10