Solve for z (9z+5)^2=0

${(9 z + 5)}^{2} = 0$

Step 1

Set the $9 z + 5$ equal to $0$ .

$9 z + 5 = 0$

Step 2

Solve for $z$ .

Subtract $5$ from both sides of the equation.

$9 z = - 5$

Divide each term in $9 z = - 5$ by $9$ and simplify.

Divide each term in $9 z = - 5$ by $9$ .

$\frac{9 z}{9} = \frac{- 5}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 z}{9} = \frac{- 5}{9}$

Divide $z$ by $1$ .

$z = \frac{- 5}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$z = - \frac{5}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = - \frac{5}{9}$

Decimal Form:

$z = - 0.\overline{5}$