Calculus Examples

$f (x) = 9 x$ , $f (x) = x$

Step 1

Substitute $x$ for $f (x)$ .

$x = 9 x$

Step 2

Solve for $x$ .

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Step 2.1

Move all terms containing $x$ to the left side of the equation.

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Step 2.1.1

Subtract $9 x$ from both sides of the equation.

$x - 9 x = 0$

Step 2.1.2

Subtract $9 x$ from $x$ .

$- 8 x = 0$

Step 2.2

Divide each term in $- 8 x = 0$ by $- 8$ and simplify.

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Step 2.2.1

Divide each term in $- 8 x = 0$ by $- 8$ .

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

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 8$ .

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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 $1$ .

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

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Divide $0$ by $- 8$ .

$x = 0$