SOLUTION: x^2+4X=-4 solve by zero-product

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Question 33428: x^2+4X=-4
solve by zero-product

Found 2 solutions by stanbon, sarah_adam:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x^2+4x+4=0
(x+2)^2=0
x=-2 or x=-2 (a double-zero at x=-2)
Cheers,
Stan H.

Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
The zero Product Rule :
If ab = 0, then a = 0 or b = 0.
x%5E2+4x = -4
x%5E2+4x+4 = 0
x%5E2+2x+2x+4 = 0
x(x+2)+2(x+2)=0
(x+2)(x+2)=0
so according to Zero - Product principle
(x+2) = 0 or (x+2) = 0
x+2-2 = 0 -2
x = -2