Solve for w (2w-7)^2=0

${(2 w - 7)}^{2} = 0$

Step 1

Set the $2 w - 7$ equal to $0$ .

$2 w - 7 = 0$

Step 2

Solve for $w$ .

Add $7$ to both sides of the equation.

$2 w = 7$

Divide each term in $2 w = 7$ by $2$ and simplify.

Divide each term in $2 w = 7$ by $2$ .

$\frac{2 w}{2} = \frac{7}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 w}{2} = \frac{7}{2}$

Divide $w$ by $1$ .

$w = \frac{7}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$w = \frac{7}{2}$

Decimal Form:

$w = 3.5$

Mixed Number Form:

$w = 3 \frac{1}{2}$