Algebra Examples

$f (x) = \frac{1}{2} x - 3$

Step 1

Set $\frac{1}{2} x - 3$ equal to $0$ .

$\frac{1}{2} x - 3 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Combine $\frac{1}{2}$ and $x$ .

$\frac{x}{2} - 3 = 0$

Step 2.2

Add $3$ to both sides of the equation.

$\frac{x}{2} = 3$

Step 2.3

Multiply both sides of the equation by $2$ .

$2 \frac{x}{2} = 2 \cdot 3$

Step 2.4

Simplify both sides of the equation.

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Step 2.4.1

Simplify the left side.

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Step 2.4.1.1

Cancel the common factor of $2$ .

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Step 2.4.1.1.1

Cancel the common factor.

$2 \frac{x}{2} = 2 \cdot 3$

Step 2.4.1.1.2

Rewrite the expression.

$x = 2 \cdot 3$

$x = 2 \cdot 3$

$x = 2 \cdot 3$

Step 2.4.2

Simplify the right side.

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Step 2.4.2.1

Multiply $2$ by $3$ .

$x = 6$

$x = 6$

$x = 6$

$x = 6$

Step 3

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