0=x^2+19x+196

Solution for 0=x^2+19x+196 equation:

Simplifying
0 = x2 + 19x + 196

Reorder the terms:
0 = 196 + 19x + x2

Solving
0 = 196 + 19x + x2

Solving for variable 'x'.

Combine like terms: 0 + -196 = -196
-196 + -19x + -1x2 = 196 + 19x + x2 + -196 + -19x + -1x2

Reorder the terms:
-196 + -19x + -1x2 = 196 + -196 + 19x + -19x + x2 + -1x2

Combine like terms: 196 + -196 = 0
-196 + -19x + -1x2 = 0 + 19x + -19x + x2 + -1x2
-196 + -19x + -1x2 = 19x + -19x + x2 + -1x2

Combine like terms: 19x + -19x = 0
-196 + -19x + -1x2 = 0 + x2 + -1x2
-196 + -19x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-196 + -19x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(196 + 19x + x2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(196 + 19x + x2)' equal to zero and attempt to solve:

Simplifying
196 + 19x + x2 = 0

Solving
196 + 19x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + 19x + -196 + x2 = 0 + -196

Reorder the terms:
196 + -196 + 19x + x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + 19x + x2 = 0 + -196
19x + x2 = 0 + -196

Combine like terms: 0 + -196 = -196
19x + x2 = -196

The x term is 19x.  Take half its coefficient (9.5).
Square it (90.25) and add it to both sides.

Add '90.25' to each side of the equation.
19x + 90.25 + x2 = -196 + 90.25

Reorder the terms:
90.25 + 19x + x2 = -196 + 90.25

Combine like terms: -196 + 90.25 = -105.75
90.25 + 19x + x2 = -105.75

Factor a perfect square on the left side:
(x + 9.5)(x + 9.5) = -105.75

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.