Calculus Examples

$- \frac{5}{3} \cdot 0^{3} - 5 e^{0} + C = - 2$

Step 1

Simplify $- \frac{5}{3} \cdot 0^{3} - 5 e^{0} + C$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

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

$- \frac{5}{3} \cdot 0 - 5 e^{0} + C = - 2$

Step 1.1.2

Multiply $- \frac{5}{3} \cdot 0$ .

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Step 1.1.2.1

Multiply $0$ by $- 1$ .

$0 (\frac{5}{3}) - 5 e^{0} + C = - 2$

Step 1.1.2.2

Multiply $0$ by $\frac{5}{3}$ .

$0 - 5 e^{0} + C = - 2$

Step 1.1.3

Anything raised to $0$ is $1$ .

$0 - 5 \cdot 1 + C = - 2$

Step 1.1.4

Multiply $- 5$ by $1$ .

$0 - 5 + C = - 2$

Step 1.2

Subtract $5$ from $0$ .

$- 5 + C = - 2$

Step 2

Move all terms not containing $C$ to the right side of the equation.

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Step 2.1

Add $5$ to both sides of the equation.

$C = - 2 + 5$

Step 2.2

Add $- 2$ and $5$ .

$C = 3$