Reformatting the input :
Changes made to your input should not affect the solution:
 (1): "x2"   was replaced by   "x^2".  
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
                     8*x^2-(8)=0  
Step by step solution :
STEP
1
:
Equation at the end of step 1
  23x2 -  8  = 0  
STEP
2
:
STEP
3
:
Pulling out like terms
 3.1     Pull out like factors :
   8x2 - 8  =   8 • (x2 - 1)  
Trying to factor as a Difference of Squares:
 3.2      Factoring:  x2 - 1  
Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)
Proof :  (A+B) • (A-B) =
         A2 - AB + BA - B2 =
         A2 - AB + AB - B2 =
         A2 - B2
Note :  AB = BA is the commutative property of multiplication.
Note :  - AB + AB equals zero and is therefore eliminated from the expression.
Check : 1 is the square of 1
Check :  x2  is the square of  x1  
Factorization is :       (x + 1)  •  (x - 1)  
Equation at the end of step
3
:
  8 • (x + 1) • (x - 1)  = 0  
STEP
4
:
Theory - Roots of a product
 4.1    A product of several terms equals zero.  
 When a product of two or more terms equals zero, then at least one of the terms must be zero.  
 We shall now solve each term = 0 separately  
 In other words, we are going to solve as many equations as there are terms in the product  
 Any solution of term = 0 solves product = 0 as well.
Equations which are never true:
 4.2      Solve :    8   =  0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
 4.3      Solve  :    x+1 = 0  
 Subtract  1  from both sides of the equation :  
                      x = -1
Solving a Single Variable Equation:
 4.4      Solve  :    x-1 = 0  
 Add  1  to both sides of the equation :  
                      x = 1
Two solutions were found :
 x = 1
 x = -1