0=2x^2+26x+1116

Solution for 0=2x^2+26x+1116 equation:

Simplifying
0 = 2x2 + 26x + 1116

Reorder the terms:
0 = 1116 + 26x + 2x2

Solving
0 = 1116 + 26x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + -1116 = -1116
-1116 + -26x + -2x2 = 1116 + 26x + 2x2 + -1116 + -26x + -2x2

Reorder the terms:
-1116 + -26x + -2x2 = 1116 + -1116 + 26x + -26x + 2x2 + -2x2

Combine like terms: 1116 + -1116 = 0
-1116 + -26x + -2x2 = 0 + 26x + -26x + 2x2 + -2x2
-1116 + -26x + -2x2 = 26x + -26x + 2x2 + -2x2

Combine like terms: 26x + -26x = 0
-1116 + -26x + -2x2 = 0 + 2x2 + -2x2
-1116 + -26x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1116 + -26x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(558 + 13x + x2) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(558 + 13x + x2)' equal to zero and attempt to solve:

Simplifying
558 + 13x + x2 = 0

Solving
558 + 13x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-558' to each side of the equation.
558 + 13x + -558 + x2 = 0 + -558

Reorder the terms:
558 + -558 + 13x + x2 = 0 + -558

Combine like terms: 558 + -558 = 0
0 + 13x + x2 = 0 + -558
13x + x2 = 0 + -558

Combine like terms: 0 + -558 = -558
13x + x2 = -558

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 = -558 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -558 + 42.25

Combine like terms: -558 + 42.25 = -515.75
42.25 + 13x + x2 = -515.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -515.75

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.