0=x^2+x+14

Solution for 0=x^2+x+14 equation:

Simplifying
0 = x2 + x + 14

Reorder the terms:
0 = 14 + x + x2

Solving
0 = 14 + x + x2

Solving for variable 'x'.

Combine like terms: 0 + -14 = -14
-14 + -1x + -1x2 = 14 + x + x2 + -14 + -1x + -1x2

Reorder the terms:
-14 + -1x + -1x2 = 14 + -14 + x + -1x + x2 + -1x2

Combine like terms: 14 + -14 = 0
-14 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
-14 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
-14 + -1x + -1x2 = 0 + x2 + -1x2
-14 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + -1x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(14 + x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(14 + x + x2)' equal to zero and attempt to solve:

Simplifying
14 + x + x2 = 0

Solving
14 + x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x + x2 = 0 + -14
x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
x + x2 = -14

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.
x + 0.25 + x2 = -14 + 0.25

Reorder the terms:
0.25 + x + x2 = -14 + 0.25

Combine like terms: -14 + 0.25 = -13.75
0.25 + x + x2 = -13.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -13.75

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.