x^2-14x+54=0

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Solution for x^2-14x+54=0 equation:


Simplifying
x2 + -14x + 54 = 0

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

Solving
54 + -14x + x2 = 0

Solving for variable 'x'.

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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