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 :

                     525^3*r-(125)=0 

Step by step solution :

Step  1  :

 1.1     525 = 3•52•7

(525)³ = (3•5²•7)³ = 3³ • 5⁶ • 7³

Equation at the end of step  1  :

  ((33•56•73) • r) -  125  = 0 

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   3³ • 5⁶ • 7³r - 125  =   25 • (21r - 5) 

Equation at the end of step  3  :

  25 • (21r - 5)  = 0 

Step  4  :

Equations which are never true :

 4.1      Solve :    25   =  0

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

Solving a Single Variable Equation :

 4.2      Solve  :    21r-5 = 0 

 Add  5  to both sides of the equation : 
                      21r = 5
Divide both sides of the equation by 21:
                     r = 5/21 = 0.238

One solution was found :