Solution - Linear equations with one unknown

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     0-(-16*(t^2-8*t))=0 

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   t² - 8t  =   t • (t - 8) 

Equation at the end of step  2  :

  0 -  (0 -  16t • (t - 8))  = 0 

Step  3  :

Equation at the end of step  3  :

  16t • (t - 8)  = 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  :    16t = 0 

 Divide both sides of the equation by 16:
                     t = 0

Solving a Single Variable Equation :

 4.3      Solve  :    t-8 = 0 

 Add  8  to both sides of the equation : 
                      t = 8

Two solutions were found :

1.  t = 8
2.  t = 0