SOLUTION: (2x+1)(x+5)=-3

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Question 687953: (2x+1)(x+5)=-3
Answer by josh_jordan(263)   (Show Source): You can put this solution on YOUR website!
The first step in solving for x in this equation, is to expand the factoring on the left side of the equation:

(2x + 1)(x + 5) =

=

=



Next we want to set this equation equal to 0. To do this, add 3 to both sides, giving us



Now, we have a quadratic equation. Because this equation cannot be factored, we will use the quadratic formula to solve for x.

The quadratic formula:


In our equation, a = 2, b = 11, and c = 8. We will plug these numbers into the quadratic formula:

=

=



Final Answer:

x = ,

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