Algebra Examples

x = 1

$x = 1$ ,

x = 3

$x = 3$

Step 1

Since the roots of an equation are the points where the solution is

0

$0$ , set each root as a factor of the equation that equals

0

$0$ .

(x - 1) (x - 3) = 0

$(x - 1) (x - 3) = 0$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Expand

(x - 1) (x - 3)

$(x - 1) (x - 3)$ using the FOIL Method.

Tap for more steps...

Step 2.1.1

Apply the distributive property.

x (x - 3) - 1 (x - 3) = 0

$x (x - 3) - 1 (x - 3) = 0$

Step 2.1.2

Apply the distributive property.

x \cdot x + x \cdot - 3 - 1 (x - 3) = 0

$x \cdot x + x \cdot - 3 - 1 (x - 3) = 0$

Step 2.1.3

Apply the distributive property.

x \cdot x + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0

$x \cdot x + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0$

x \cdot x + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0

$x \cdot x + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0$

Step 2.2

Simplify and combine like terms.

Tap for more steps...

Step 2.2.1

Simplify each term.

Tap for more steps...

Step 2.2.1.1

Multiply

x

$x$ by

x

$x$ .

x^{2} + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0

$x^{2} + x \cdot - 3 - 1 x - 1 \cdot - 3 = 0$

Step 2.2.1.2

Move

- 3

$- 3$ to the left of

x

$x$ .

x^{2} - 3 \cdot x - 1 x - 1 \cdot - 3 = 0

$x^{2} - 3 \cdot x - 1 x - 1 \cdot - 3 = 0$

Step 2.2.1.3

Rewrite

- 1 x

$- 1 x$ as

- x

$- x$ .

x^{2} - 3 x - x - 1 \cdot - 3 = 0

$x^{2} - 3 x - x - 1 \cdot - 3 = 0$

Step 2.2.1.4

Multiply

- 1

$- 1$ by

- 3

$- 3$ .

x^{2} - 3 x - x + 3 = 0

$x^{2} - 3 x - x + 3 = 0$

x^{2} - 3 x - x + 3 = 0

$x^{2} - 3 x - x + 3 = 0$

Step 2.2.2

Subtract

x

$x$ from

- 3 x

$- 3 x$ .

x^{2} - 4 x + 3 = 0

$x^{2} - 4 x + 3 = 0$

x^{2} - 4 x + 3 = 0

$x^{2} - 4 x + 3 = 0$

x^{2} - 4 x + 3 = 0

$x^{2} - 4 x + 3 = 0$

Enter YOUR Problem