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 :

                (x+4)^2-2*x-5-((x-1)^2)=0 

Step by step solution :

Step  1  :

 1.1     Evaluate :  (x-1)2   =    x2-2x+1 

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   8x + 10  =   2 • (4x + 5) 

Equation at the end of step  2  :

  2 • (4x + 5)  = 0 

Step  3  :

Equations which are never true :

 3.1      Solve :    2   =  0

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

Solving a Single Variable Equation :

 3.2      Solve  :    4x+5 = 0 

 Subtract  5  from both sides of the equation : 
                      4x = -5
Divide both sides of the equation by 4:
                     x = -5/4 = -1.250

One solution was found :