Simplify z(5z-3)-2z

$z (5 z - 3) - 2 z$

Simplify each term.

Apply the distributive property.

$z (5 z) + z \cdot - 3 - 2 z$

Rewrite using the commutative property of multiplication.

$5 z \cdot z + z \cdot - 3 - 2 z$

Move $- 3$ to the left of $z$ .

$5 z \cdot z - 3 \cdot z - 2 z$

Multiply $z$ by $z$ by adding the exponents.

Move $z$ .

$5 (z \cdot z) - 3 \cdot z - 2 z$

Multiply $z$ by $z$ .

$5 z^{2} - 3 \cdot z - 2 z$

$5 z^{2} - 3 z - 2 z$

Subtract $2 z$ from $- 3 z$ .

$5 z^{2} - 5 z$