2|4u|=0

Divide each term in 2|4u|=0 by 2.

2|4u|2=02

Simplify 2|4u|2.

Cancel the common factor of 2.

Cancel the common factor.

2|4u|2=02

Divide |4u| by 1.

|4u|=02

|4u|=02

Remove non-negative terms from the absolute value.

4|u|=02

4|u|=02

Divide 0 by 2.

4|u|=0

4|u|=0

Divide each term in 4|u|=0 by 4.

4|u|4=04

Cancel the common factor of 4.

Cancel the common factor.

4|u|4=04

Divide |u| by 1.

|u|=04

|u|=04

Divide 0 by 4.

|u|=0

|u|=0

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

u=±0

Rewrite the equation.

u=0

Solve for u 2|4u|=0