a^2+14a+97=0

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Solution for a^2+14a+97=0 equation:


Simplifying
a2 + 14a + 97 = 0

Reorder the terms:
97 + 14a + a2 = 0

Solving
97 + 14a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-97' to each side of the equation.
97 + 14a + -97 + a2 = 0 + -97

Reorder the terms:
97 + -97 + 14a + a2 = 0 + -97

Combine like terms: 97 + -97 = 0
0 + 14a + a2 = 0 + -97
14a + a2 = 0 + -97

Combine like terms: 0 + -97 = -97
14a + a2 = -97

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 = -97 + 49

Reorder the terms:
49 + 14a + a2 = -97 + 49

Combine like terms: -97 + 49 = -48
49 + 14a + a2 = -48

Factor a perfect square on the left side:
(a + 7)(a + 7) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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