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 :

                     2550^2*x-(7500)=0 

Step by step solution :

Step  1  :

 1.1     2550 = 2•3•52•17

(2550)² = (2•3•5²•17)² = 2² • 3² • 5⁴ • 17²

Equation at the end of step  1  :

  ((22•32•54•172) • x) -  7500  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2² • 3² • 5⁴ • 17²x - 7500  =   150 • (17x - 50) 

Equation at the end of step  3  :

  150 • (17x - 50)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    150   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    17x-50 = 0 

 Add  50  to both sides of the equation : 
                      17x = 50
Divide both sides of the equation by 17:
                     x = 50/17 = 2.941

One solution was found :