x^2-14x+51=0

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Solution for x^2-14x+51=0 equation:


Simplifying
x2 + -14x + 51 = 0

Reorder the terms:
51 + -14x + x2 = 0

Solving
51 + -14x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -14x + -51 + x2 = 0 + -51

Reorder the terms:
51 + -51 + -14x + x2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -14x + x2 = 0 + -51
-14x + x2 = 0 + -51

Combine like terms: 0 + -51 = -51
-14x + x2 = -51

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 = -51 + 49

Reorder the terms:
49 + -14x + x2 = -51 + 49

Combine like terms: -51 + 49 = -2
49 + -14x + x2 = -2

Factor a perfect square on the left side:
(x + -7)(x + -7) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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