Question

Solve the following equation.
|4x−4(x+1)|=4

Answer 1

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.

Answer 2

4=4 so the statement is equal and true

Explanation:

|4x-4x-4|=4

|-4|=4

4=4