Algebra Examples

$\frac{20 x - 15}{- 10 x + 15}$

Step 1

Set the denominator in $\frac{20 x - 15}{- 10 x + 15}$ equal to $0$ to find where the expression is undefined.

$- 10 x + 15 = 0$

Step 2

Solve for $x$ .

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Step 2.1

Subtract $15$ from both sides of the equation.

$- 10 x = - 15$

Step 2.2

Divide each term in $- 10 x = - 15$ by $- 10$ and simplify.

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Step 2.2.1

Divide each term in $- 10 x = - 15$ by $- 10$ .

$\frac{- 10 x}{- 10} = \frac{- 15}{- 10}$

Step 2.2.2

Simplify the left side.

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Step 2.2.2.1

Cancel the common factor of $- 10$ .

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Step 2.2.2.1.1

Cancel the common factor.

$\frac{- 10 x}{- 10} = \frac{- 15}{- 10}$

Step 2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 15}{- 10}$

Step 2.2.3

Simplify the right side.

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Step 2.2.3.1

Cancel the common factor of $- 15$ and $- 10$ .

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Step 2.2.3.1.1

Factor $- 5$ out of $- 15$ .

$x = \frac{- 5 (3)}{- 10}$

Step 2.2.3.1.2

Cancel the common factors.

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Step 2.2.3.1.2.1

Factor $- 5$ out of $- 10$ .

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

Step 2.2.3.1.2.2

Cancel the common factor.

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

Step 2.2.3.1.2.3

Rewrite the expression.

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

Step 3