Algebra Examples

$y = (x - 6) (x + 8) (2 x + 1)$

Step 1

Set $(x - 6) (x + 8) (2 x + 1)$ equal to $0$ .

$(x - 6) (x + 8) (2 x + 1) = 0$

Step 2

Solve for $x$ .

Tap for more steps...

Step 2.1

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

$x - 6 = 0$

$x + 8 = 0$

$2 x + 1 = 0$

Step 2.2

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

Tap for more steps...

Step 2.2.1

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

$x - 6 = 0$

Step 2.2.2

Add $6$ to both sides of the equation.

$x = 6$

Step 2.3

Set $x + 8$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.3.1

Set $x + 8$ equal to $0$ .

$x + 8 = 0$

Step 2.3.2

Subtract $8$ from both sides of the equation.

$x = - 8$

Step 2.4

Set $2 x + 1$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 2.4.1

Set $2 x + 1$ equal to $0$ .

$2 x + 1 = 0$

Step 2.4.2

Solve $2 x + 1 = 0$ for $x$ .

Tap for more steps...

Step 2.4.2.1

Subtract $1$ from both sides of the equation.

$2 x = - 1$

Step 2.4.2.2

Divide each term in $2 x = - 1$ by $2$ and simplify.

Tap for more steps...

Step 2.4.2.2.1

Divide each term in $2 x = - 1$ by $2$ .

$\frac{2 x}{2} = \frac{- 1}{2}$

Step 2.4.2.2.2

Simplify the left side.

Tap for more steps...

Step 2.4.2.2.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.4.2.2.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 1}{2}$

Step 2.4.2.2.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 1}{2}$

Step 2.4.2.2.3

Simplify the right side.

Tap for more steps...

Step 2.4.2.2.3.1

Move the negative in front of the fraction.

$x = - \frac{1}{2}$

Step 2.5

The final solution is all the values that make $(x - 6) (x + 8) (2 x + 1) = 0$ true.

$x = 6, - 8, - \frac{1}{2}$

Step 3