Solve the absolute value equation. │4x + 3│= 3
A. x = 0 or x = negative three over two
B. x = 0 or x = 3 over 2
C. x = 1 or x = negative three over two
D. x = 1 or x = 3 over 2

A

Step-by-step explanation:

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 |4x+3|

For the Negative case we'll use -(4x+3)

For the Positive case we'll use (4x+3)

-(4x+3) = 3

    Multiply

     -4x-3 = 3

    Rearrange and Add up

     -4x = 6

    Divide both sides by 4

     -x = (3/2)

    Multiply both sides by (-1)

     x = -(3/2)

    Which is the solution for the Negative Case

(4x+3) = 3

    Rearrange and Add up

     4x = 0

    Divide both sides by 4

     x = 0

    Which is the solution for the Positive Case

x=-3/2

x=0

c is the correct answer

step-by-step explanation: