Simplify (2z-4)(-3z+2z-5)

$(2 z - 4) (- 3 z + 2 z - 5)$

Add $- 3 z$ and $2 z$ .

$(2 z - 4) (- z - 5)$

Expand $(2 z - 4) (- z - 5)$ using the FOIL Method.

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Apply the distributive property.

$2 z (- z - 5) - 4 (- z - 5)$

Apply the distributive property.

$2 z (- z) + 2 z \cdot - 5 - 4 (- z - 5)$

Apply the distributive property.

$2 z (- z) + 2 z \cdot - 5 - 4 (- z) - 4 \cdot - 5$

Simplify and combine like terms.

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Simplify each term.

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Multiply $z$ by $z$ .

$2 \cdot - 1 z^{2} + 2 z \cdot - 5 - 4 (- z) - 4 \cdot - 5$

Multiply $2$ by $- 1$ .

$- 2 z^{2} + 2 z \cdot - 5 - 4 (- z) - 4 \cdot - 5$

Multiply $- 5$ by $2$ .

$- 2 z^{2} - 10 z - 4 (- z) - 4 \cdot - 5$

Multiply $- 1$ by $- 4$ .

$- 2 z^{2} - 10 z + 4 z - 4 \cdot - 5$

Multiply $- 4$ by $- 5$ .

$- 2 z^{2} - 10 z + 4 z + 20$

Add $- 10 z$ and $4 z$ .

$- 2 z^{2} - 6 z + 20$

Simplify (2z-4)(-3z+2z-5)

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