Solve Linear equations with one unknown ab^2=a^2b^2 Tiger Algebra Solver

Rearrange:

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

                     a*b^2-(a^2*b^2)=0 

Step by step solution :

Step

 1 

:

Step

 2 

:

Pulling out like terms :

 2.1     Pull out like factors :

   ab2 – a2b2  =   -ab2 • (a – 1) 

Equation at the end of step

 2 

:

  -ab2 • (a - 1)  = 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   -ab2  = 0

Setting any of the variables to zero solves the equation:

 a  =  0
 b  =  0

Solving a Single Variable Equation :

 3.3      Solve  :    a-1 = 0 

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

Three solutions were found :

1.  a = 1

2.  b  =  0

3.  a  =  0