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 :

                     10^3*x-(810)=0 

Step by step solution :

Step  1  :

 1.1     10 = 2•5

(10)³ = (2•5)³ = 2³ • 5³

Equation at the end of step  1  :

  ((23•53) • x) -  810  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   1000x - 810  =   10 • (100x - 81) 

Equation at the end of step  3  :

  10 • (100x - 81)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    10   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    100x-81 = 0 

 Add  81  to both sides of the equation : 
                      100x = 81
Divide both sides of the equation by 100:
                     x = 81/100 = 0.810

One solution was found :