Linear Algebra Examples

$5 x - 25 = 0$

Step 1

Add $25$ to both sides of the equation.

$5 x = 25$

Step 2

Divide each term in $5 x = 25$ by $5$ and simplify.

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Step 2.1

Divide each term in $5 x = 25$ by $5$ .

$\frac{5 x}{5} = \frac{25}{5}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $5$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{5 x}{5} = \frac{25}{5}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{25}{5}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $25$ by $5$ .

$x = 5$

Step 3

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

${x | x = 5}$

Step 4