0=2x^2-16x+100

Solution for 0=2x^2-16x+100 equation:

Simplifying
0 = 2x2 + -16x + 100

Reorder the terms:
0 = 100 + -16x + 2x2

Solving
0 = 100 + -16x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -100 = -100
-100 + 16x + -2x2 = 100 + -16x + 2x2 + -100 + 16x + -2x2

Reorder the terms:
-100 + 16x + -2x2 = 100 + -100 + -16x + 16x + 2x2 + -2x2

Combine like terms: 100 + -100 = 0
-100 + 16x + -2x2 = 0 + -16x + 16x + 2x2 + -2x2
-100 + 16x + -2x2 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
-100 + 16x + -2x2 = 0 + 2x2 + -2x2
-100 + 16x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-100 + 16x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-50 + 8x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-50 + 8x + -1x2)' equal to zero and attempt to solve:

Simplifying
-50 + 8x + -1x2 = 0

Solving
-50 + 8x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
50 + -8x + x2 = 0

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + -8x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + -8x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -8x + x2 = 0 + -50
-8x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-8x + x2 = -50

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -50 + 16

Reorder the terms:
16 + -8x + x2 = -50 + 16

Combine like terms: -50 + 16 = -34
16 + -8x + x2 = -34

Factor a perfect square on the left side:
(x + -4)(x + -4) = -34

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.