Algebra Examples

$\frac{10 x - 6}{10 x - 6}$

Step 1

Set the denominator in $\frac{10 x - 6}{10 x - 6}$ equal to $0$ to find where the expression is undefined.

$10 x - 6 = 0$

Step 2

Solve for $x$ .

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Add $6$ to both sides of the equation.

$10 x = 6$

Divide each term in $10 x = 6$ by $10$ and simplify.

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Divide each term in $10 x = 6$ by $10$ .

$\frac{10 x}{10} = \frac{6}{10}$

Simplify the left side.

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Cancel the common factor of $10$ .

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Cancel the common factor.

$\frac{10 x}{10} = \frac{6}{10}$

Divide $x$ by $1$ .

$x = \frac{6}{10}$

Simplify the right side.

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Cancel the common factor of $6$ and $10$ .

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Factor $2$ out of $6$ .

$x = \frac{2 (3)}{10}$

Cancel the common factors.

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Factor $2$ out of $10$ .

$x = \frac{2 \cdot 3}{2 \cdot 5}$

Cancel the common factor.

$x = \frac{2 \cdot 3}{2 \cdot 5}$

Rewrite the expression.

$x = \frac{3}{5}$

Step 3