Algebra Examples

$\frac{(x - 1) (x + 5)}{x - 5}$

Step 1

Set $\frac{(x - 1) (x + 5)}{x - 5}$ equal to $0$ .

$\frac{(x - 1) (x + 5)}{x - 5} = 0$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

Set the numerator equal to zero.

$(x - 1) (x + 5) = 0$

Step 2.2

Solve the equation for $x$ .

Tap for more steps...

Step 2.2.1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x - 1 = 0$

$x + 5 = 0$

Step 2.2.2

Set $x - 1$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.2.2.1

Set $x - 1$ equal to $0$ .

$x - 1 = 0$

Step 2.2.2.2

Add $1$ to both sides of the equation.

$x = 1$

Step 2.2.3

Set $x + 5$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.2.3.1

Set $x + 5$ equal to $0$ .

$x + 5 = 0$

Step 2.2.3.2

Subtract $5$ from both sides of the equation.

$x = - 5$

Step 2.2.4

The final solution is all the values that make $(x - 1) (x + 5) = 0$ true.

$x = 1, - 5$

Step 3