Finite Math Examples

$n (25) = 0.16 {(25)}^{2} - 3.17 \cdot 25 + 106.25$

Step 1

Simplify.

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Step 1.1

Raise $25$ to the power of $2$ .

$n (25) = 0.16 \cdot 625 - 3.17 \cdot 25 + 106.25$

Step 1.2

Multiply $0.16$ by $625$ .

$n (25) = 100 - 3.17 \cdot 25 + 106.25$

Step 1.3

Multiply $- 3.17$ by $25$ .

$n (25) = 100 - 79.25 + 106.25$

Step 1.4

Subtract $79.25$ from $100$ .

$n (25) = 20.75 + 106.25$

Step 1.5

Add $20.75$ and $106.25$ .

$n (25) = 127$

Step 2

Divide each term in $n (25) = 127$ by $25$ and simplify.

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Step 2.1

Divide each term in $n (25) = 127$ by $25$ .

$\frac{n (25)}{25} = \frac{127}{25}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $25$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{n \cdot 25}{25} = \frac{127}{25}$

Step 2.2.1.2

Divide $n$ by $1$ .

$n = \frac{127}{25}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Cancel the common factor of $127$ and $25$ .

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Step 2.3.1.1

Rewrite $127$ as $1 (127)$ .

$n = \frac{1 (127)}{25}$

Step 2.3.1.2

Cancel the common factors.

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Step 2.3.1.2.1

Rewrite $25$ as $1 (25)$ .

$n = \frac{1 \cdot 127}{1 \cdot 25}$

Step 2.3.1.2.2

Cancel the common factor.

$n = \frac{1 \cdot 127}{1 \cdot 25}$

Step 2.3.1.2.3

Rewrite the expression.

$n = \frac{127}{25}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$n = \frac{127}{25}$

Decimal Form:

$n = 5.08$

Mixed Number Form:

$n = 5 \frac{2}{25}$