Algebra Examples

$3 x (x + 4) (x - 6) = 0$

Step 1

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

$x = 0$

$x + 4 = 0$

$x - 6 = 0$

Step 2

Set $x$ equal to $0$ .

$x = 0$

Step 3

Set $x + 4$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 3.1

Set $x + 4$ equal to $0$ .

$x + 4 = 0$

Step 3.2

Subtract $4$ from both sides of the equation.

$x = - 4$

Step 4

Set $x - 6$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 4.1

Set $x - 6$ equal to $0$ .

$x - 6 = 0$

Step 4.2

Add $6$ to both sides of the equation.

$x = 6$

Step 5

The final solution is all the values that make $3 x (x + 4) (x - 6) = 0$ true.

$x = 0, - 4, 6$

Step 6