Basic Math Examples

$B = \frac{1}{4} \cdot (f (s + k) f o r s)$

Step 1

Rewrite the equation as $\frac{1}{4} \cdot (f (s + k) f o r s) = B$ .

$\frac{1}{4} \cdot (f (s + k) f o r s) = B$

Step 2

Multiply both sides of the equation by $4$ .

$4 (\frac{1}{4} \cdot (f (s + k) f o r s)) = 4 B$

Step 3

Simplify the left side.

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Step 3.1

Simplify $4 (\frac{1}{4} \cdot (f (s + k) f o r s))$ .

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Step 3.1.1

Multiply $f$ by $f$ by adding the exponents.

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Step 3.1.1.1

Move $f$ .

$4 (\frac{1}{4} \cdot (f \cdot f (s + k) o r s)) = 4 B$

Step 3.1.1.2

Multiply $f$ by $f$ .

$4 (\frac{1}{4} \cdot (f^{2} (s + k) o r s)) = 4 B$

Step 3.1.2

Apply the distributive property.

$4 (\frac{1}{4} \cdot ((f^{2} s + f^{2} k) o r s)) = 4 B$

Step 3.1.3

Apply the distributive property.

$4 (\frac{1}{4} \cdot ((f^{2} s o + f^{2} k o) r s)) = 4 B$

Step 3.1.4

Apply the distributive property.

$4 (\frac{1}{4} \cdot ((f^{2} s o r + f^{2} k o r) s)) = 4 B$

Step 3.1.5

Apply the distributive property.

$4 (\frac{1}{4} \cdot (f^{2} s o r s + f^{2} k o r s)) = 4 B$

Step 3.1.6

Multiply $s$ by $s$ by adding the exponents.

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Step 3.1.6.1

Move $s$ .

$4 (\frac{1}{4} \cdot (f^{2} (s \cdot s) o r + f^{2} k o r s)) = 4 B$

Step 3.1.6.2

Multiply $s$ by $s$ .

$4 (\frac{1}{4} \cdot (f^{2} s^{2} o r + f^{2} k o r s)) = 4 B$

Step 3.1.7

Apply the distributive property.

$4 (\frac{1}{4} (f^{2} s^{2} o r) + \frac{1}{4} (f^{2} k o r s)) = 4 B$

Step 3.1.8

Multiply $\frac{1}{4} (f^{2} s^{2} o r)$ .

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Step 3.1.8.1

Combine $f^{2}$ and $\frac{1}{4}$ .

$4 (\frac{f^{2}}{4} (s^{2} o r) + \frac{1}{4} (f^{2} k o r s)) = 4 B$

Step 3.1.8.2

Combine $s^{2}$ and $\frac{f^{2}}{4}$ .

$4 (\frac{s^{2} f^{2}}{4} (o r) + \frac{1}{4} (f^{2} k o r s)) = 4 B$

Step 3.1.8.3

Combine $o$ and $\frac{s^{2} f^{2}}{4}$ .

$4 (\frac{o (s^{2} f^{2})}{4} r + \frac{1}{4} (f^{2} k o r s)) = 4 B$

Step 3.1.8.4

Combine $\frac{o (s^{2} f^{2})}{4}$ and $r$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{1}{4} (f^{2} k o r s)) = 4 B$

Step 3.1.9

Multiply $\frac{1}{4} (f^{2} k o r s)$ .

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Step 3.1.9.1

Combine $f^{2}$ and $\frac{1}{4}$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{f^{2}}{4} (k o r s)) = 4 B$

Step 3.1.9.2

Combine $k$ and $\frac{f^{2}}{4}$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{k f^{2}}{4} (o r s)) = 4 B$

Step 3.1.9.3

Combine $o$ and $\frac{k f^{2}}{4}$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{o (k f^{2})}{4} (r s)) = 4 B$

Step 3.1.9.4

Combine $r$ and $\frac{o (k f^{2})}{4}$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{r (o (k f^{2}))}{4} s) = 4 B$

Step 3.1.9.5

Combine $\frac{r (o (k f^{2}))}{4}$ and $s$ .

$4 (\frac{o (s^{2} f^{2}) r}{4} + \frac{r (o (k f^{2})) s}{4}) = 4 B$

Step 3.1.10

Remove parentheses.

$4 (\frac{o s^{2} f^{2} r}{4} + \frac{r o k f^{2} s}{4}) = 4 B$

Step 3.1.11

Simplify terms.

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Step 3.1.11.1

Apply the distributive property.

$4 \frac{o s^{2} f^{2} r}{4} + 4 \frac{r o k f^{2} s}{4} = 4 B$

Step 3.1.11.2

Cancel the common factor of $4$ .

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Step 3.1.11.2.1

Cancel the common factor.

$4 \frac{o s^{2} f^{2} r}{4} + 4 \frac{r o k f^{2} s}{4} = 4 B$

Step 3.1.11.2.2

Rewrite the expression.

$o s^{2} f^{2} r + 4 \frac{r o k f^{2} s}{4} = 4 B$

Step 3.1.11.3

Cancel the common factor of $4$ .

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Step 3.1.11.3.1

Cancel the common factor.

$o s^{2} f^{2} r + 4 \frac{r o k f^{2} s}{4} = 4 B$

Step 3.1.11.3.2

Rewrite the expression.

$o s^{2} f^{2} r + r o k f^{2} s = 4 B$

Step 4

Factor $o s f^{2} r$ out of $o s^{2} f^{2} r + r o k f^{2} s$ .

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Step 4.1

Factor $o s f^{2} r$ out of $o s^{2} f^{2} r$ .

$o s f^{2} r (s) + r o k f^{2} s = 4 B$

Step 4.2

Factor $o s f^{2} r$ out of $r o k f^{2} s$ .

$o s f^{2} r (s) + o s f^{2} r (k) = 4 B$

Step 4.3

Factor $o s f^{2} r$ out of $o s f^{2} r (s) + o s f^{2} r (k)$ .

$o s f^{2} r (s + k) = 4 B$

Step 5

Divide each term in $o s f^{2} r (s + k) = 4 B$ by $o s f^{2} (s + k)$ and simplify.

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Step 5.1

Divide each term in $o s f^{2} r (s + k) = 4 B$ by $o s f^{2} (s + k)$ .

$\frac{o s f^{2} r (s + k)}{o s f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $o$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{o s f^{2} r (s + k)}{o s f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.1.2

Rewrite the expression.

$\frac{s f^{2} r (s + k)}{s f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.2

Cancel the common factor of $s$ .

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Step 5.2.2.1

Cancel the common factor.

$\frac{s f^{2} r (s + k)}{s f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.2.2

Rewrite the expression.

$\frac{f^{2} r (s + k)}{f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.3

Cancel the common factor of $f^{2}$ .

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Step 5.2.3.1

Cancel the common factor.

$\frac{f^{2} r (s + k)}{f^{2} (s + k)} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.3.2

Rewrite the expression.

$\frac{r (s + k)}{s + k} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.4

Cancel the common factor of $s + k$ .

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Step 5.2.4.1

Cancel the common factor.

$\frac{r (s + k)}{s + k} = \frac{4 B}{o s f^{2} (s + k)}$

Step 5.2.4.2

Divide $r$ by $1$ .

$r = \frac{4 B}{o s f^{2} (s + k)}$