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*(t+1/4)-(3)=0 

Step by step solution :

Step  1  :

            1
 Simplify   —
            4

Equation at the end of step  1  :

             1      
  (4 • (t +  —)) -  3  = 0 
             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 :

          t     t • 4
     t =  —  =  —————
          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:

 t • 4 + 1     4t + 1
 —————————  =  ——————
     4           4   

Equation at the end of step  2  :

       (4t + 1)     
  (4 • ————————) -  3  = 0 
          4         

Step  3  :

Equation at the end of step  3  :

  (4t + 1) -  3  = 0 

Step  4  :

Step  5  :

Pulling out like terms :

 5.1     Pull out like factors :

   4t - 2  =   2 • (2t - 1) 

Equation at the end of step  5  :

  2 • (2t - 1)  = 0 

Step  6  :

Equations which are never true :

 6.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 6.2      Solve  :    2t-1 = 0 

 Add  1  to both sides of the equation : 
                      2t = 1
Divide both sides of the equation by 2:
                     t = 1/2 = 0.500

One solution was found :