SOLUTION: How do you solve (d+2)(d-5)=-6 if it is a polynomial equation?

Question 118310: How do you solve (d+2)(d-5)=-6 if it is a polynomial equation?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Foil

Add 6 to both sides

Combine like terms

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for d in each case

So our answer is
or

Check:
Let's check the first solution
Start with the given equation

Plug in the first solution

Combine like terms

Multiply. Since the two sides of the equation are equal, this verifies our answer.

-----------

Now let's check the second solution
Start with the given equation

Plug in the second solution

Combine like terms

Multiply. Since the two sides of the equation are equal, this verifies our answer.

So both of our answers have been verified.
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