x^2+14x+49=-5

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Solution for x^2+14x+49=-5 equation:


Simplifying
x2 + 14x + 49 = -5

Reorder the terms:
49 + 14x + x2 = -5

Solving
49 + 14x + x2 = -5

Solving for variable 'x'.

Reorder the terms:
49 + 5 + 14x + x2 = -5 + 5

Combine like terms: 49 + 5 = 54
54 + 14x + x2 = -5 + 5

Combine like terms: -5 + 5 = 0
54 + 14x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-54' to each side of the equation.
54 + 14x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + 14x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + 14x + x2 = 0 + -54
14x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
14x + x2 = -54

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 = -54 + 49

Reorder the terms:
49 + 14x + x2 = -54 + 49

Combine like terms: -54 + 49 = -5
49 + 14x + x2 = -5

Factor a perfect square on the left side:
(x + 7)(x + 7) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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