Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "3.14" was replaced by "(314/100)".

Rearrange:

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

                256-((314/100)*(441/484)*h)=0 

Step by step solution :

Step  1  :

            441
 Simplify   ———
            484

Equation at the end of step  1  :

           314   441
  256 -  ((——— • ———) • h)  = 0 
           100   484

Step  2  :

            157
 Simplify   ———
            50 

Equation at the end of step  2  :

           157   441
  256 -  ((——— • ———) • h)  = 0 
           50    484

Step  3  :

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  24200  as the denominator :

            256     256 • 24200
     256 =  ———  =  ———————————
             1         24200   

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:

 256 • 24200 - (69237h)     6195200 - 69237h
 ——————————————————————  =  ————————————————
         24200                   24200      

Equation at the end of step  3  :

  6195200 - 69237h
  ————————————————  = 0 
       24200      

Step  4  :

When a fraction equals zero :

 4.1    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:

  6195200-69237h
  —————————————— • 24200 = 0 • 24200
      24200     

Now, on the left hand side, the  24200  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   6195200-69237h  = 0

Solving a Single Variable Equation :

 4.2      Solve  :    -69237h+6195200 = 0 

 Subtract  6195200  from both sides of the equation : 
                      -69237h = -6195200
Multiply both sides of the equation by (-1) :  69237h = 6195200


Divide both sides of the equation by 69237:
                     h = 6195200/69237 = 89.478

One solution was found :