Answer:
Two solutions were found :
x=10/3
x=-6
Explanation:
|3x+4|=14
Two solutions were found :
x=10/3
x=-6
Absolute Value Equation entered :
|3x+4|=14
Step by step solution :
Step 1 :
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|3x+4| = 14
Step 2 :
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |3x+4|
For the Negative case we'll use -(3x+4)
For the Positive case we'll use (3x+4)
Step 3 :
Solve the Negative Case
-(3x+4) = 14
Multiply
-3x-4 = 14
Rearrange and Add up
-3x = 18
Divide both sides by 3
-x = 6
Multiply both sides by (-1)
x = -6
Which is the solution for the Negative Case
Step 4 :
Solve the Positive Case
(3x+4) = 14
Rearrange and Add up
3x = 10
Divide both sides by 3
x = (10/3)
Which is the solution for the Positive Case
Step 5 :
Wrap up the solution
x=-6
x=10/3
Solutions on the Number Line
Two solutions were found :
x=10/3
x=-6