Solution - Adding, subtracting and finding the least common multiple

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "4.35" was replaced by "(435/100)". 3 more similar replacement(s)

Step by step solution :

Step  1  :

            87
 Simplify   ——
            20

Equation at the end of step  1  :

      555   855      87
  ((0-———)-(———•c))+(——•c)  = 0 
      100   100      20

Step  2  :

            171
 Simplify   ———
            20 

Equation at the end of step  2  :

         555      171          87c
  ((0 -  ———) -  (——— • c)) +  ———  = 0 
         100      20           20 

Step  3  :

            111
 Simplify   ———
            20 

Equation at the end of step  3  :

         111     171c     87c
  ((0 -  ———) -  ————) +  ———  = 0 
         20       20      20 

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:

 -111 - (171c)     -171c - 111
 —————————————  =  ———————————
      20               20     

Equation at the end of step  4  :

  (-171c - 111)    87c
  ————————————— +  ———  = 0 
       20          20 

Step  5  :

Step  6  :

Pulling out like terms :

 6.1     Pull out like factors :

   -171c - 111  =   -3 • (57c + 37) 

Adding fractions which have a common denominator :

 6.2       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:

 -3 • (57c+37) + 87c     -84c - 111
 ———————————————————  =  ——————————
         20                  20    

Step  7  :

Pulling out like terms :

 7.1     Pull out like factors :

   -84c - 111  =   -3 • (28c + 37) 

Equation at the end of step  7  :

  -3 • (28c + 37)
  ———————————————  = 0 
        20       

Step  8  :

When a fraction equals zero :

 8.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

  -3•(28c+37)
  ——————————— • 20 = 0 • 20
      20     

Now, on the left hand side, the  20  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -3  •  (28c+37)  = 0

Equations which are never true :

 8.2      Solve :    -3   =  0

This equation has no solution.
A a non-zero constant never equals zero.

Solving a Single Variable Equation :

 8.3      Solve  :    28c+37 = 0 

 Subtract  37  from both sides of the equation : 
                      28c = -37
Divide both sides of the equation by 28:
                     c = -37/28 = -1.321

One solution was found :