x^2+14x+81=0

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Solution for x^2+14x+81=0 equation:


Simplifying
x2 + 14x + 81 = 0

Reorder the terms:
81 + 14x + x2 = 0

Solving
81 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-81' to each side of the equation.
81 + 14x + -81 + x2 = 0 + -81

Reorder the terms:
81 + -81 + 14x + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 14x + x2 = 0 + -81
14x + x2 = 0 + -81

Combine like terms: 0 + -81 = -81
14x + x2 = -81

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

Add '49' to each side of the equation.
14x + 49 + x2 = -81 + 49

Reorder the terms:
49 + 14x + x2 = -81 + 49

Combine like terms: -81 + 49 = -32
49 + 14x + x2 = -32

Factor a perfect square on the left side:
(x + 7)(x + 7) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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