Calculus Examples

$f (x) = (- 5 x^{2} - 5 x - 2) (- 4 x - 5)$ , $x = 0$

Step 1

Replace the variable $x$ with $0$ in the expression.

$f (0) = (- 5 {(0)}^{2} - 5 \cdot 0 - 2) (- 4 \cdot 0 - 5)$

Step 2

Simplify the result.

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Step 2.1

Simplify each term.

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Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$f (0) = (- 5 \cdot 0 - 5 \cdot 0 - 2) (- 4 \cdot 0 - 5)$

Step 2.1.2

Multiply $- 5$ by $0$ .

$f (0) = (0 - 5 \cdot 0 - 2) (- 4 \cdot 0 - 5)$

Step 2.1.3

Multiply $- 5$ by $0$ .

$f (0) = (0 + 0 - 2) (- 4 \cdot 0 - 5)$

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $0$ and $0$ .

$f (0) = (0 - 2) (- 4 \cdot 0 - 5)$

Step 2.2.2

Subtract $2$ from $0$ .

$f (0) = - 2 (- 4 \cdot 0 - 5)$

Step 2.2.3

Multiply $- 4$ by $0$ .

$f (0) = - 2 (0 - 5)$

Step 2.2.4

Subtract $5$ from $0$ .

$f (0) = - 2 \cdot - 5$

Step 2.2.5

Multiply $- 2$ by $- 5$ .

$f (0) = 10$

Step 2.3

The final answer is $10$ .

$10$

Step 3