SOLUTION: Solve each absolute value equation |-4x+10|=0

Algebra ->  Linear-equations -> SOLUTION: Solve each absolute value equation |-4x+10|=0      Log On


   

Question 174183This question is from textbook algebra 1
: Solve each absolute value equation
|-4x+10|=0 This question is from textbook algebra 1

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%28-4x%2B10%29=0 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

-4x%2B10=0 or -4x%2B10=0 Set the expression -4x%2B10 equal to the original value 0 and it's opposite 0




Now lets focus on the first equation -4x%2B10=0


-4x=0-10Subtract 10 from both sides


-4x=-10 Combine like terms on the right side


x=%28-10%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=5%2F2 Reduce






Now lets focus on the second equation -4x%2B10=0



-4x=0-10Subtract 10 from both sides


-4x=-10 Combine like terms on the right side


x=%28-10%29%2F%28-4%29 Divide both sides by -4 to isolate x



x=5%2F2 Reduce





So the solution is:

x=5%2F2