SOLUTION: Can you help me use the zero property or factoring to find the solution of (x+2)(2x+7)=-15 ?

Question 449355: Can you help me use the zero property or factoring to find the solution of (x+2)(2x+7)=-15 ?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
Quadratic Equation in Standard Form

where does not equal .
Zero Factor Property
If a product , then or .
is our magic number because the way a product can become is if at least one of its factors is
you need:
use the zero property or factoring to find the solution of
....first set equation = to
multiply

.....since cannot be factored,. ... you cannot find the solution of by using the zero property or factoring
only way is to use quadratic formula

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for x:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=2, b=11, and c=29

Square 11 to get 121

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 2 to get 4

After simplifying, the quadratic has roots of

or

as you can see, there is real solutions, only imaginary solutions

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