Solution - Linear equations with one unknown

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "t2"   was replaced by   "t^2". 

(2): "4.9" was replaced by "(49/10)".

Rearrange:

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

                     0-((49/10)*t^26*t^2)=0 

Step by step solution :

Step  1  :

            49
 Simplify   ——
            10

Equation at the end of step  1  :

         49
  0 -  ((—— • t26) • t2)  = 0 
         10

Step  2  :

Equation at the end of step  2  :

        49t26
  0 -  (————— • t2)  = 0 
         10  

Step  3  :

Multiplying exponential expressions :

 3.1    t²⁶ multiplied by t² = t^{(26 + 2)} = t²⁸

Equation at the end of step  3  :

       49t28
  0 -  —————  = 0 
        10  

Step  4  :

Equation at the end of step  4  :

  -49t28
  ——————  = 0 
    10  

Step  5  :

When a fraction equals zero :

 5.1    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:

  -49t28
  —————— • 10 = 0 • 10
    10  

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
   -49t²⁸  = 0

Solving a Single Variable Equation :

 5.2      Solve  :    -49t²⁸ = 0 

 Multiply both sides of the equation by (-1) :  49t²⁸ = 0


Divide both sides of the equation by 49:
                     t²⁸ = 0
                     t  =  28th root of (0) 

 Any root of zero is zero. This equation has one solution which is  t = 0

One solution was found :