Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "t1"   was replaced by   "t^1". 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (t2) -  2t  = 0 
 Step  2  :
 Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   t² - 2t  =   t • (t - 2) 

Equation at the end of step  3  :

  t • (t - 2)  = 0 

Step  4  :

Theory - Roots of a product :

 4.1    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 :

 4.2      Solve  :    t = 0 

  Solution is  t = 0

Solving a Single Variable Equation :

 4.3      Solve  :    t-2 = 0 

 Add  2  to both sides of the equation : 
                      t = 2

Two solutions were found :

1.  t = 2
2.  t = 0