Simplify -0.5(a+2)(a+5)

$- 0.5 (a + 2) (a + 5)$

Simplify by multiplying through.

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Apply the distributive property.

$(- 0.5 a - 0.5 \cdot 2) (a + 5)$

Multiply $- 0.5$ by $2$ .

$(- 0.5 a - 1) (a + 5)$

Expand $(- 0.5 a - 1) (a + 5)$ using the FOIL Method.

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Apply the distributive property.

$- 0.5 a (a + 5) - 1 (a + 5)$

Apply the distributive property.

$- 0.5 a \cdot a - 0.5 a \cdot 5 - 1 (a + 5)$

Apply the distributive property.

$- 0.5 a \cdot a - 0.5 a \cdot 5 - 1 a - 1 \cdot 5$

Simplify and combine like terms.

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Simplify each term.

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Multiply $a$ by $a$ by adding the exponents.

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Move $a$ .

$- 0.5 (a \cdot a) - 0.5 a \cdot 5 - 1 a - 1 \cdot 5$

Multiply $a$ by $a$ .

$- 0.5 a^{2} - 0.5 a \cdot 5 - 1 a - 1 \cdot 5$

Multiply $5$ by $- 0.5$ .

$- 0.5 a^{2} - 2.5 a - 1 a - 1 \cdot 5$

Rewrite $- 1 a$ as $- a$ .

$- 0.5 a^{2} - 2.5 a - a - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$- 0.5 a^{2} - 2.5 a - a - 5$

Subtract $a$ from $- 2.5 a$ .

$- 0.5 a^{2} - 3.5 a - 5$

Simplify -0.5(a+2)(a+5)