8x-16-8x*8x=0

Solution for 8x-16-8x*8x=0 equation:

Simplifying
8x + -16 + -8x * 8x = 0

Reorder the terms for easier multiplication:
8x + -16 + -8 * 8x * x = 0

Multiply -8 * 8
8x + -16 + -64x * x = 0

Multiply x * x
8x + -16 + -64x2 = 0

Reorder the terms:
-16 + 8x + -64x2 = 0

Solving
-16 + 8x + -64x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + x + -8x2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-2 + x + -8x2)' equal to zero and attempt to solve:

Simplifying
-2 + x + -8x2 = 0

Solving
-2 + x + -8x2 = 0

Begin completing the square.  Divide all terms by
-8 the coefficient of the squared term: 

Divide each side by '-8'.
0.25 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.125x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.125x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.125x + x2 = 0 + -0.25
-0.125x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.125x + x2 = -0.25

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.125x + 0.25 + x2 = -0.25 + 0.25

Reorder the terms:
0.25 + -0.125x + x2 = -0.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.25 + -0.125x + x2 = 0.00

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(x + 0.5) equal to 0.00 and 0.00.

Subproblem 1
x + 0.5 = 0.00

Simplifying
x + 0.5 = 0.00

Reorder the terms:
0.5 + x = 0.00

Solving
0.5 + x = 0.00

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.00 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.00 + -0.5
x = 0.00 + -0.5

Combine like terms: 0.00 + -0.5 = -0.5
x = -0.5

Simplifying
x = -0.5

Subproblem 2
x + 0.5 = 0.00

Simplifying
x + 0.5 = 0.00

Reorder the terms:
0.5 + x = 0.00

Solving
0.5 + x = 0.00

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.5' to each side of the equation.
0.5 + -0.5 + x = 0.00 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + x = 0.00 + -0.5
x = 0.00 + -0.5

Combine like terms: 0.00 + -0.5 = -0.5
x = -0.5

Simplifying
x = -0.5

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {-0.5, -0.5}
Solution
x = {-0.5, -0.5}