Finite Math Examples

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

Step 1

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

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

Step 2

Solve for $x$ .

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Step 2.1

Combine $\frac{1}{2}$ and $| x - 3 |$ .

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

Step 2.2

Subtract $2$ from both sides of the equation.

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

Step 2.3

Multiply both sides of the equation by $2$ .

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

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.

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

Step 2.4.1.1.2

Rewrite the expression.

$| x - 3 | = 2 \cdot - 2$

Step 2.4.2

Simplify the right side.

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Step 2.4.2.1

Multiply $2$ by $- 2$ .

$| x - 3 | = - 4$

Step 2.5

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution