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 :

                     a*(b*c)-(a*b*a*c)=0 

Step by step solution :

Step  1  :

Pulling out like terms :

 1.1     Pull out like factors :

   abc - a²bc  =   -abc • (a - 1) 

Equation at the end of step  1  :

Step  2  :

Theory - Roots of a product :

 2.1    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 :

 2.2     Solve   -abc  = 0

Setting any of the variables to zero solves the equation:

 a  =  0
 b  =  0
 c  =  0

Solving a Single Variable Equation :

 2.3      Solve  :    a-1 = 0 

 Add  1  to both sides of the equation : 
                      a = 1

Four solutions were found :

1.  a = 1
2.  c  =  0
3.  b  =  0
4.  a  =  0