Finite Math Examples

$\frac{- (- 112) - v (- 112^{2} - 4 \cdot 16 \cdot 160)}{2 \cdot 16}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 1$ by $- 112$ .

$\frac{112 - v (- 112^{2} - 4 \cdot 16 \cdot 160)}{2 \cdot 16}$

Step 1.2

Simplify each term.

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Step 1.2.1

Raise $112$ to the power of $2$ .

$\frac{112 - v (- 1 \cdot 12544 - 4 \cdot 16 \cdot 160)}{2 \cdot 16}$

Step 1.2.2

Multiply $- 1$ by $12544$ .

$\frac{112 - v (- 12544 - 4 \cdot 16 \cdot 160)}{2 \cdot 16}$

Step 1.2.3

Multiply $- 4 \cdot 16 \cdot 160$ .

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Step 1.2.3.1

Multiply $- 4$ by $16$ .

$\frac{112 - v (- 12544 - 64 \cdot 160)}{2 \cdot 16}$

Step 1.2.3.2

Multiply $- 64$ by $160$ .

$\frac{112 - v (- 12544 - 10240)}{2 \cdot 16}$

Step 1.3

Subtract $10240$ from $- 12544$ .

$\frac{112 - v \cdot - 22784}{2 \cdot 16}$

Step 1.4

Multiply $- 22784$ by $- 1$ .

$\frac{112 + 22784 v}{2 \cdot 16}$

Step 1.5

Factor $16$ out of $112 + 22784 v$ .

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Step 1.5.1

Factor $16$ out of $112$ .

$\frac{16 (7) + 22784 v}{2 \cdot 16}$

Step 1.5.2

Factor $16$ out of $22784 v$ .

$\frac{16 (7) + 16 (1424 v)}{2 \cdot 16}$

Step 1.5.3

Factor $16$ out of $16 (7) + 16 (1424 v)$ .

$\frac{16 (7 + 1424 v)}{2 \cdot 16}$

Step 2

Multiply $2$ by $16$ .

$\frac{16 (7 + 1424 v)}{32}$

Step 3

Cancel the common factors.

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Step 3.1

Factor $16$ out of $32$ .

$\frac{16 (7 + 1424 v)}{16 \cdot 2}$

Step 3.2

Cancel the common factor.

$\frac{16 (7 + 1424 v)}{16 \cdot 2}$

Step 3.3

Rewrite the expression.

$\frac{7 + 1424 v}{2}$