x^2+14x+156=0

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Solution for x^2+14x+156=0 equation:


Simplifying
x2 + 14x + 156 = 0

Reorder the terms:
156 + 14x + x2 = 0

Solving
156 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-156' to each side of the equation.
156 + 14x + -156 + x2 = 0 + -156

Reorder the terms:
156 + -156 + 14x + x2 = 0 + -156

Combine like terms: 156 + -156 = 0
0 + 14x + x2 = 0 + -156
14x + x2 = 0 + -156

Combine like terms: 0 + -156 = -156
14x + x2 = -156

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 = -156 + 49

Reorder the terms:
49 + 14x + x2 = -156 + 49

Combine like terms: -156 + 49 = -107
49 + 14x + x2 = -107

Factor a perfect square on the left side:
(x + 7)(x + 7) = -107

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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