0=2x^2-12x+34

Solution for 0=2x^2-12x+34 equation:

Simplifying
0 = 2x2 + -12x + 34

Reorder the terms:
0 = 34 + -12x + 2x2

Solving
0 = 34 + -12x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -34 = -34
-34 + 12x + -2x2 = 34 + -12x + 2x2 + -34 + 12x + -2x2

Reorder the terms:
-34 + 12x + -2x2 = 34 + -34 + -12x + 12x + 2x2 + -2x2

Combine like terms: 34 + -34 = 0
-34 + 12x + -2x2 = 0 + -12x + 12x + 2x2 + -2x2
-34 + 12x + -2x2 = -12x + 12x + 2x2 + -2x2

Combine like terms: -12x + 12x = 0
-34 + 12x + -2x2 = 0 + 2x2 + -2x2
-34 + 12x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-34 + 12x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-17 + 6x + -1x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-17 + 6x + -1x2)' equal to zero and attempt to solve:

Simplifying
-17 + 6x + -1x2 = 0

Solving
-17 + 6x + -1x2 = 0

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

Divide each side by '-1'.
17 + -6x + x2 = 0

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -6x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -6x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x + x2 = 0 + -17
-6x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-6x + x2 = -17

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -17 + 9

Reorder the terms:
9 + -6x + x2 = -17 + 9

Combine like terms: -17 + 9 = -8
9 + -6x + x2 = -8

Factor a perfect square on the left side:
(x + -3)(x + -3) = -8

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.