<PRE><B>Question 698736</B>
1)Solve the formula for the specified variable.
   F = 9/5C + 32 for C
Solution:
   F = 9/5C + 32 for C
F - 32 = 9/5C
hence C = 5(F - 32)/ 9

(2)Solve the formula for the specified variable.
   A = 1/2h(a + b) for a
Solution: 

   A = 1/2h(a + b) for a
  2A/h = ( a + b)
 2A/h - b = a
a= (2A-bh)/ h

(3)Solve the formula for the specified variable.
   d = rt for r
Solution:
d = rt 
hence r= d/t

(4)Solve the equation by factoring.
   15x^2 + 26x + 8 = 0 
Solution:
here a=15 , b= 26, c = 8 
ac = product = 15 * 8 
find the two factors of 120 , such that there sum is 26 
120 = 20 * 6 
26 = 20 + 6 , 
therefore: 15x^2 + 26x + 8 = 0
15x^2 + 20x + 6x + 8 = 0
5x( 3x + 4) + 2( 3x + 4) =0 
( 3x + 4) (5x+2)=0 
3x+4= 0 ,               or 5x + 2 =0 
x = -4/3     or   x = -2/5 </PRE>