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 :

                     (4*p^2)*121-(44*p)=0 

Step by step solution :

Step  1  :

Equation at the end of step  1  :

  (22p2 • 121) -  44p  = 0 

Step  2  :

Equation at the end of step  2  :

  (22•112p2) -  44p  = 0 

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   484p² - 44p  =   44p • (11p - 1) 

Equation at the end of step  4  :

  44p • (11p - 1)  = 0 

Step  5  :

Theory - Roots of a product :

 5.1    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 :

 5.2      Solve  :    44p = 0 

 Divide both sides of the equation by 44:
                     p = 0

Solving a Single Variable Equation :

 5.3      Solve  :    11p-1 = 0 

 Add  1  to both sides of the equation : 
                      11p = 1
Divide both sides of the equation by 11:
                     p = 1/11 = 0.091

Two solutions were found :

1.  p = 1/11 = 0.091
   
2.  p = 0