8x+-1x(2x+6)=34

Solution for 8x+-1x(2x+6)=34 equation:

Simplifying
8x + -1x(2x + 6) = 34

Reorder the terms:
8x + -1x(6 + 2x) = 34
8x + (6 * -1x + 2x * -1x) = 34
8x + (-6x + -2x2) = 34

Combine like terms: 8x + -6x = 2x
2x + -2x2 = 34

Solving
2x + -2x2 = 34

Solving for variable 'x'.

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

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

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

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

Simplifying
-17 + x + -1x2 = 0

Solving
-17 + x + -1x2 = 0

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

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

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -1x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -1x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1x + x2 = 0 + -17
-1x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-1x + x2 = -17

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.
-1x + 0.25 + x2 = -17 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -17 + 0.25

Combine like terms: -17 + 0.25 = -16.75
0.25 + -1x + x2 = -16.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -16.75

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.