# Linear equations with one unknown

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This solution deals with linear equations with one unknown.

## Step by Step Solution

## Step by step solution :

## Step 1 :

## Step 2 :

#### Pulling out like terms :

2.1 Pull out like factors :

2x - 4 = 2 • (x - 2)

#### Equation at the end of step 2 :

```
2x • (x - 2) = 0
```

## Step 3 :

#### Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

#### Solving a Single Variable Equation :

3.2 Solve : 2x = 0

Divide both sides of the equation by 2:

x = 0

#### Solving a Single Variable Equation :

3.3 Solve : x-2 = 0

Add 2 to both sides of the equation :

x = 2

## Two solutions were found :

- x = 2
- x = 0