SOLUTION: p=q2+5q+2 find the value of q corresponding to p=-2

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Question 278373: p=q2+5q+2 find the value of q corresponding to p=-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
p=q%5E2%2B5q%2B2 Start with the given equation.


-2=q%5E2%2B5q%2B2 Plug in p=-2


0=q%5E2%2B5q%2B2%2B2 Add 2 to both sides


0=q%5E2%2B5q%2B4 Combine like terms.


q%5E2%2B5q%2B4=0 Rearrange the equation.


%28q%2B4%29%28q%2B1%29=0 Factor the left side.


q%2B4=0 or q%2B1=0 Use the zero product property


q=-4 or q=-1 Solve for 'q' in each equation.


So the solutions are q=-4 or q=-1