Solution - Adding, subtracting and finding the least common multiple

Rearrange:

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

                     5/4-(-4*c+1/4)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

  5            1
  — -  (-4c +  —)  = 0 
  4            4

Step  2  :

Rewriting the whole as an Equivalent Fraction :

 2.1   Adding a fraction to a whole

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

            -4c     -4c • 4
     -4c =  ———  =  ———————
             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 :

 2.2       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:

 -4c • 4 + 1     1 - 16c
 ———————————  =  ———————
      4             4   

Equation at the end of step  2  :

  5    (1 - 16c)
  — -  —————————  = 0 
  4        4    

Step  3  :

            5
 Simplify   —
            4

Equation at the end of step  3  :

  5    (1 - 16c)
  — -  —————————  = 0 
  4        4    

Step  4  :

Adding fractions which have a common denominator :

 4.1       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:

 5 - ((1-16c))     16c + 4
 —————————————  =  ———————
       4              4   

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   16c + 4  =   4 • (4c + 1) 

Equation at the end of step  5  :

  4c + 1  = 0 

Step  6  :

Solving a Single Variable Equation :

 6.1      Solve  :    4c+1 = 0 

 Subtract  1  from both sides of the equation : 
                      4c = -1
Divide both sides of the equation by 4:
                     c = -1/4 = -0.250

One solution was found :