x*x+14x+112=0

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Solution for x*x+14x+112=0 equation:


Simplifying
x * x + 14x + 112 = 0

Multiply x * x
x2 + 14x + 112 = 0

Reorder the terms:
112 + 14x + x2 = 0

Solving
112 + 14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + 14x + -112 + x2 = 0 + -112

Reorder the terms:
112 + -112 + 14x + x2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + 14x + x2 = 0 + -112
14x + x2 = 0 + -112

Combine like terms: 0 + -112 = -112
14x + x2 = -112

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 = -112 + 49

Reorder the terms:
49 + 14x + x2 = -112 + 49

Combine like terms: -112 + 49 = -63
49 + 14x + x2 = -63

Factor a perfect square on the left side:
(x + 7)(x + 7) = -63

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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