<PRE><B>Question 66068</B>
Well to solve a quadratic equation by factoring you need to do the following:

1)Get everything on the same side of the squared term.
2)Factor the quadratic equation
   &lt;body alignment = center&gt;a)Multiply the a and c terms together where a and c are coefficients.
   b)Factor that number and see what factors add to the b term.
   *Note: You might end up haveing to take the negative of both factors to get
   them to add right.&lt;/body&gt;
3)re-write the equation as a product of its factors.
4)Set each factor equal to 0 and solve&lt;br&gt;

P^2+15p+25=6p+5
p^2+15p-6p+25-5=0
p^2+9p+20=0&lt;br&gt;

a = 1, b = 9, c = 20&lt;br&gt;

a * c = 1*20 = 20&lt;br&gt;

factors of 20 are:
1 and 20
2 and 10
&lt;font color = #FF0000&gt;&lt;i&gt;4 and 5&lt;/font&gt;&lt;/i&gt;&lt;br&gt;

4 * 5 = 20
4 + 5 = 9&lt;br&gt;

p^2+9p+20=0
(p+4)(p+5)=0&lt;br&gt;

now set each equation to 0 and solve. &lt;br&gt;

p + 4 = 0
p = -4&lt;br&gt;

p + 5 = 0
p = -5&lt;br&gt;

so your roots are x = -4 and x = -5.</PRE>