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Examples

f (x) = 9 x

$f (x) = 9 x$ ,

f (x) = x

$f (x) = x$

Step 1

Substitute

x

$x$ for

f (x)

$f (x)$ .

x = 9 x

$x = 9 x$

Step 2

Solve for

x

$x$ .

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Step 2.1

Move all terms containing

x

$x$ to the left side of the equation.

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Step 2.1.1

Subtract

9 x

$9 x$ from both sides of the equation.

x - 9 x = 0

$x - 9 x = 0$

Step 2.1.2

Subtract

9 x

$9 x$ from

x

$x$ .

- 8 x = 0

$- 8 x = 0$

- 8 x = 0

$- 8 x = 0$

Step 2.2

Divide each term in

- 8 x = 0

$- 8 x = 0$ by

- 8

$- 8$ and simplify.

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Step 2.2.1

Divide each term in

- 8 x = 0

$- 8 x = 0$ by

- 8

$- 8$ .

\frac{- 8 x}{- 8} = \frac{0}{- 8}

$\frac{- 8 x}{- 8} = \frac{0}{- 8}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of

- 8

$- 8$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 8 x}{- 8} = \frac{0}{- 8}$

Step 2.2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{0}{- 8}$

$x = \frac{0}{- 8}$

$x = \frac{0}{- 8}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide

$0$ by

$- 8$ .

$x = 0$

$x = 0$

$x = 0$

$x = 0$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$