Respuesta :
The answer for the question shown above is the Option a:
a. -2
The explanation is shown below:
1- You have the following rational equation given in the problem:
(x^2+5x+6/)(x+3)=0
2- When you factor the numerator, you obtain:
(x+3)(x+2)/(x+3)=0
3- Simplifying the equation, you have:
x+2=0
x=-2
a. -2
The explanation is shown below:
1- You have the following rational equation given in the problem:
(x^2+5x+6/)(x+3)=0
2- When you factor the numerator, you obtain:
(x+3)(x+2)/(x+3)=0
3- Simplifying the equation, you have:
x+2=0
x=-2
Answer:
-1
Step-by-step explanation
Step 1: Multiply both sides by x+3.
x^2+5x+6=x+3
x^2+5x+6-(x-3)=x+3-(x+3)
(subtract x+3 from both sides)
x^2+4x+3=0
(x+1)(x+3)=0 (factor left side of equation)
x+1=0 or x+3=0 (Set factors equal to 0)
X=-1 or x=-3
Check answers. (Plug them in to make sure they work.)
x=-1 (Works in original equation)
x=-3 (Doesn't work in original equation)
Therefore the answer is -1
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