Finite Math Examples

v V = v \cdot 0 + \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0

$v V = v \cdot 0 + \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract

v \cdot 0

$v \cdot 0$ from both sides of the equation.

v V - v \cdot 0 = \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0

$v V - v \cdot 0 = \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0$

Step 1.2

Subtract

\frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0

$\frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0$ from both sides of the equation.

v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

Step 2

Simplify

v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0

$v V - v \cdot 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

- v \cdot 0

$- v \cdot 0$ .

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Step 2.1.1.1

Multiply

0

$0$ by

- 1

$- 1$ .

v V + 0 v - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 v - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

Step 2.1.1.2

Multiply

0

$0$ by

v

$v$ .

v V + 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

v V + 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 - \frac{v^{0} t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

Step 2.1.2

Simplify the numerator.

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Step 2.1.2.1

Anything raised to

0

$0$ is

1

$1$ .

v V + 0 - \frac{1 t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 - \frac{1 t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

Step 2.1.2.2

Multiply

t

$t$ by

1

$1$ .

v V + 0 - \frac{t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 - \frac{t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

v V + 0 - \frac{t}{273} \cdot (v \cdot 0) \cdot 0 = 0

$v V + 0 - \frac{t}{273} \cdot (v \cdot 0) \cdot 0 = 0$

Step 2.1.3

Multiply

v

$v$ by

0

$0$ .

v V + 0 - \frac{t}{273} \cdot 0 \cdot 0 = 0

$v V + 0 - \frac{t}{273} \cdot 0 \cdot 0 = 0$

Step 2.1.4

Multiply

- \frac{t}{273} \cdot 0

$- \frac{t}{273} \cdot 0$ .

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Step 2.1.4.1

Multiply

0

$0$ by

- 1

$- 1$ .

v V + 0 + 0 \frac{t}{273} \cdot 0 = 0

$v V + 0 + 0 \frac{t}{273} \cdot 0 = 0$

Step 2.1.4.2

Multiply

0

$0$ by

\frac{t}{273}

$\frac{t}{273}$ .

v V + 0 + 0 \cdot 0 = 0

$v V + 0 + 0 \cdot 0 = 0$

v V + 0 + 0 \cdot 0 = 0

$v V + 0 + 0 \cdot 0 = 0$

Step 2.1.5

Multiply

0

$0$ by

0

$0$ .

v V + 0 + 0 = 0

$v V + 0 + 0 = 0$

v V + 0 + 0 = 0

$v V + 0 + 0 = 0$

Step 2.2

Combine the opposite terms in

v V + 0 + 0

$v V + 0 + 0$ .

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Step 2.2.1

Add

v V

$v V$ and

0

$0$ .

v V + 0 = 0

$v V + 0 = 0$

Step 2.2.2

Add

v V

$v V$ and

0

$0$ .

v V = 0

$v V = 0$

v V = 0

$v V = 0$

v V = 0

$v V = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.