a^2+14a+196=

Solution for a^2+14a+196= equation:

Simplifying
a2 + 14a + 196 = 0

Reorder the terms:
196 + 14a + a2 = 0

Solving
196 + 14a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + 14a + -196 + a2 = 0 + -196

Reorder the terms:
196 + -196 + 14a + a2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + 14a + a2 = 0 + -196
14a + a2 = 0 + -196

Combine like terms: 0 + -196 = -196
14a + a2 = -196

The a term is 14a.  Take half its coefficient (7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
14a + 49 + a2 = -196 + 49

Reorder the terms:
49 + 14a + a2 = -196 + 49

Combine like terms: -196 + 49 = -147
49 + 14a + a2 = -147

Factor a perfect square on the left side:
(a + 7)(a + 7) = -147

Can't calculate square root of the right side.

The solution to this equation could not be determined.