Finite Math Examples

$f (x^{5}) = m x + b$

Step 1

Rewrite the equation as $m x + b = f x^{5}$ .

$m x + b = f x^{5}$

Step 2

Subtract $b$ from both sides of the equation.

$m x = f x^{5} - b$

Step 3

Divide each term in $m x = f x^{5} - b$ by $x$ and simplify.

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Step 3.1

Divide each term in $m x = f x^{5} - b$ by $x$ .

$\frac{m x}{x} = \frac{f x^{5}}{x} + \frac{- b}{x}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $x$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{m x}{x} = \frac{f x^{5}}{x} + \frac{- b}{x}$

Step 3.2.1.2

Divide $m$ by $1$ .

$m = \frac{f x^{5}}{x} + \frac{- b}{x}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of $x^{5}$ and $x$ .

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Step 3.3.1.1.1

Factor $x$ out of $f x^{5}$ .

$m = \frac{x (f x^{4})}{x} + \frac{- b}{x}$

Step 3.3.1.1.2

Cancel the common factors.

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Step 3.3.1.1.2.1

Raise $x$ to the power of $1$ .

$m = \frac{x (f x^{4})}{x^{1}} + \frac{- b}{x}$

Step 3.3.1.1.2.2

Factor $x$ out of $x^{1}$ .

$m = \frac{x (f x^{4})}{x \cdot 1} + \frac{- b}{x}$

Step 3.3.1.1.2.3

Cancel the common factor.

$m = \frac{x (f x^{4})}{x \cdot 1} + \frac{- b}{x}$

Step 3.3.1.1.2.4

Rewrite the expression.

$m = \frac{f x^{4}}{1} + \frac{- b}{x}$

Step 3.3.1.1.2.5

Divide $f x^{4}$ by $1$ .

$m = f x^{4} + \frac{- b}{x}$

Step 3.3.1.2

Move the negative in front of the fraction.

$m = f x^{4} - \frac{b}{x}$