Solve the following equation.

|4x-4 (x+1) |=4

4=4 so the statement is equal and true

Step-by-step explanation:

|4x-4x-4|=4

|-4|=4

4=4

No solution

Step-by-step explanation

First, simplify the expression 4x - 4 (x + 1) that is enclosed by the absolute value signs. We get:

4x-4x - 1

This simplifies to - 1.

Substituting - 1 for 4x - 4 (x + 1) in |4x-4 (x+1) |, we get |-1|, whose value is + 1.

Then we have 1 = 4, which is never true. Thus we conclude that the given equation |4x-4 (x+1) |=4 has no solutions.