Find the Roots (Zeros) H(z)=-5z+2

$H (z) = - 5 z + 2$

Step 1

Set $- 5 z + 2$ equal to $0$ .

$- 5 z + 2 = 0$

Step 2

Solve for $x$ .

Subtract $2$ from both sides of the equation.

$- 5 z = - 2$

Divide each term in $- 5 z = - 2$ by $- 5$ and simplify.

Divide each term in $- 5 z = - 2$ by $- 5$ .

$\frac{- 5 z}{- 5} = \frac{- 2}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 z}{- 5} = \frac{- 2}{- 5}$

Divide $z$ by $1$ .

$z = \frac{- 2}{- 5}$

Simplify the right side.

Dividing two negative values results in a positive value.

$z = \frac{2}{5}$

Step 3