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. :) </span></span><span> </span> </span>
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