Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "0.25" was replaced by "(25/100)". 2 more similar replacement(s)

Rearrange:

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

                -(75/100)*p-2-((25/100)*p)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

        75         1
  ((0-(———•p))-2)-(—•p)  = 0 
       100         4

Step  2  :

            3
 Simplify   —
            4

Equation at the end of step  2  :

          3                p
  ((0 -  (— • p)) -  2) -  —  = 0 
          4                4

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  4  as the denominator :

         2     2 • 4
    2 =  —  =  —————
         1       4  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 -3p - (2 • 4)     -3p - 8
 —————————————  =  ———————
       4              4   

Equation at the end of step  3  :

  (-3p - 8)    p
  ————————— -  —  = 0 
      4        4

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   -3p - 8  =   -1 • (3p + 8) 

Adding fractions which have a common denominator :

 5.2       Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

 (-3p-8) - (p)     -4p - 8
 —————————————  =  ———————
       4              4   

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -4p - 8  =   -4 • (p + 2) 

Equation at the end of step  6  :

  -p - 2  = 0 

Step  7  :

Solving a Single Variable Equation :

 7.1      Solve  :    -p-2 = 0 

 Add  2  to both sides of the equation : 
                      -p = 2
Multiply both sides of the equation by (-1) :  p = -2

One solution was found :