x^2-14x+55=0

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Solution for x^2-14x+55=0 equation:


Simplifying
x2 + -14x + 55 = 0

Reorder the terms:
55 + -14x + x2 = 0

Solving
55 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -14x + -55 + x2 = 0 + -55

Reorder the terms:
55 + -55 + -14x + x2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -14x + x2 = 0 + -55
-14x + x2 = 0 + -55

Combine like terms: 0 + -55 = -55
-14x + x2 = -55

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 = -55 + 49

Reorder the terms:
49 + -14x + x2 = -55 + 49

Combine like terms: -55 + 49 = -6
49 + -14x + x2 = -6

Factor a perfect square on the left side:
(x + -7)(x + -7) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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