SOLUTION: Solve the equation 2|4-s|=-3s

Algebra ->  Absolute-value -> SOLUTION: Solve the equation 2|4-s|=-3s      Log On


   

Question 448092: Solve the equation 2|4-s|=-3s
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First divide both sides by 2 to get abs%284-s%29=-3s%2F2


Then use the idea that abs%28x%29=y means x=y or x=-y to get the two equations:

4-s=-3s%2F2 and 4-s=3s%2F2


Note: -%28-3s%2F2%29=3s%2F2 (this is the simplification of the 2nd equation)


From there, solve these two equations to find the solutions for s.