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Linear equations with one unknown

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x(2x-4)=0

This solution deals with linear equations with one unknown.

Solution found

x=2
x=2

Step by Step Solution

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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 :

  1.  x = 2
  2.  x = 0

Why learn this

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