2x^2+26x+156=0

Solution for 2x^2+26x+156=0 equation:

Simplifying
2x2 + 26x + 156 = 0

Reorder the terms:
156 + 26x + 2x2 = 0

Solving
156 + 26x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(78 + 13x + x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(78 + 13x + x2)' equal to zero and attempt to solve:

Simplifying
78 + 13x + x2 = 0

Solving
78 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-78' to each side of the equation.
78 + 13x + -78 + x2 = 0 + -78

Reorder the terms:
78 + -78 + 13x + x2 = 0 + -78

Combine like terms: 78 + -78 = 0
0 + 13x + x2 = 0 + -78
13x + x2 = 0 + -78

Combine like terms: 0 + -78 = -78
13x + x2 = -78

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -78 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -78 + 42.25

Combine like terms: -78 + 42.25 = -35.75
42.25 + 13x + x2 = -35.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -35.75

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.