<PRE><B>Question 21752</B>
x^2+10x+10=0&lt;br&gt;

well first you need to get the x&#39;s by them selves so subtract 10 from both sides&lt;br&gt;

x^2+10x=-10&lt;br&gt;

now take 1/2 of 10 then square it and then add it to both sides&lt;br&gt;

x^2+10x+(1/2(10))^2=-10+(1/2(10))^2
x^2+10x+(5)^2 = -10 + (5)^2
x^2+10x+25 = -10 + 25&lt;br&gt;

now take the square root of x^2 and 25 and combine like terms on the right side&lt;br&gt;

(x+5)^2=15&lt;br&gt;

now take the square root of both sides&lt;br&gt;

x+5 = {{{sqrt (15)}}}
x = {{{sqrt (15)}}} - 5</PRE>