Solve by factoring.
x2 + 6x = - 9. Hint: This is a double root.
2 answers:
Subtract -9 from both sides.
x2+6x−(−9)=−9−(−9)
x2+6x+9=0
Factor left side of equation.
(x+3)(x+3)=0
Set factors equal to 0.
x+3=0 or x+3=0
x=−3
Answer:
x=−3
1
Move all terms to one side
x^2+6x+9=0
2
Rewrite x^2+6x+9 in the form a^2+2ab+b^2 , where a=x<span> and </span><span>b=3
x^2+2(x)(3)+3^2=0
</span>3
Use Square of Sum (a+b<span>)^2=a^2+2ab+b^2
</span><span><span><span><span>(x+3)</span><span><span>^2</span><span></span></span></span>=0
</span>
4
Take the square root of both sides
<span>x+3=0
</span>5
Subtract 3 from both sides
<span><span>x=−3
</span><span>
So, in short, your answer is x = - 3
I hope this helps, and have a great day. :)
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