m^2+14m+97=5

Solution for m^2+14m+97=5 equation:

Simplifying
m2 + 14m + 97 = 5

Reorder the terms:
97 + 14m + m2 = 5

Solving
97 + 14m + m2 = 5

Solving for variable 'm'.

Reorder the terms:
97 + -5 + 14m + m2 = 5 + -5

Combine like terms: 97 + -5 = 92
92 + 14m + m2 = 5 + -5

Combine like terms: 5 + -5 = 0
92 + 14m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-92' to each side of the equation.
92 + 14m + -92 + m2 = 0 + -92

Reorder the terms:
92 + -92 + 14m + m2 = 0 + -92

Combine like terms: 92 + -92 = 0
0 + 14m + m2 = 0 + -92
14m + m2 = 0 + -92

Combine like terms: 0 + -92 = -92
14m + m2 = -92

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

Add '49' to each side of the equation.
14m + 49 + m2 = -92 + 49

Reorder the terms:
49 + 14m + m2 = -92 + 49

Combine like terms: -92 + 49 = -43
49 + 14m + m2 = -43

Factor a perfect square on the left side:
(m + 7)(m + 7) = -43

Can't calculate square root of the right side.

The solution to this equation could not be determined.