Linear Algebra Examples

$10 x - 5 x - 3 x = 0$

Step 1

Simplify $10 x - 5 x - 3 x$ .

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Step 1.1

Subtract $5 x$ from $10 x$ .

$5 x - 3 x = 0$

Step 1.2

Subtract $3 x$ from $5 x$ .

$2 x = 0$

$2 x = 0$

Step 2

Divide each term in $2 x = 0$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 x = 0$ by $2$ .

$\frac{2 x}{2} = \frac{0}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{0}{2}$

Step 2.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{2}$

$x = \frac{0}{2}$

$x = \frac{0}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $2$ .

$x = 0$

$x = 0$

$x = 0$

Step 3

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

${x | x = 0}$

Step 4

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