Linear Algebra Examples

$- 6 x = 12$

Step 1

Divide each term in $- 6 x = 12$ by $- 6$ and simplify.

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Step 1.1

Divide each term in $- 6 x = 12$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{12}{- 6}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $- 6$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{12}{- 6}$

Step 1.2.1.2

Divide $x$ by $1$ .

$x = \frac{12}{- 6}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $12$ by $- 6$ .

$x = - 2$

Step 2

The domain is the set of all valid $x$ values.

${x | x = - 2}$

Step 3