Finite Math Examples

$\frac{v (- 14^{2} - 4 \cdot 1 \cdot 26)}{2 (1)}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $14$ to the power of $2$ .

$\frac{v (- 1 \cdot 196 - 4 \cdot 1 \cdot 26)}{2 (1)}$

Step 1.2

Multiply $- 1$ by $196$ .

$\frac{v (- 196 - 4 \cdot 1 \cdot 26)}{2 (1)}$

Step 1.3

Multiply $- 4 \cdot 1 \cdot 26$ .

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Step 1.3.1

Multiply $- 4$ by $1$ .

$\frac{v (- 196 - 4 \cdot 26)}{2 (1)}$

Step 1.3.2

Multiply $- 4$ by $26$ .

$\frac{v (- 196 - 104)}{2 (1)}$

Step 1.4

Subtract $104$ from $- 196$ .

$\frac{v \cdot - 300}{2 (1)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Multiply $2$ by $1$ .

$\frac{v \cdot - 300}{2}$

Step 2.2

Cancel the common factor of $- 300$ and $2$ .

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Step 2.2.1

Factor $2$ out of $v \cdot - 300$ .

$\frac{2 (v \cdot - 150)}{2}$

Step 2.2.2

Cancel the common factors.

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Step 2.2.2.1

Factor $2$ out of $2$ .

$\frac{2 (v \cdot - 150)}{2 (1)}$

Step 2.2.2.2

Cancel the common factor.

$\frac{2 (v \cdot - 150)}{2 \cdot 1}$

Step 2.2.2.3

Rewrite the expression.

$\frac{v \cdot - 150}{1}$

Step 2.2.2.4

Divide $v \cdot - 150$ by $1$ .

$v \cdot - 150$

Step 2.3

Move $- 150$ to the left of $v$ .

$- 150 v$