x^2-12x+54=0

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Solution for x^2-12x+54=0 equation:


Simplifying
x2 + -12x + 54 = 0

Reorder the terms:
54 + -12x + x2 = 0

Solving
54 + -12x + 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 + -12x + -54 + x2 = 0 + -54

Reorder the terms:
54 + -54 + -12x + x2 = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -12x + x2 = 0 + -54
-12x + x2 = 0 + -54

Combine like terms: 0 + -54 = -54
-12x + x2 = -54

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -54 + 36

Reorder the terms:
36 + -12x + x2 = -54 + 36

Combine like terms: -54 + 36 = -18
36 + -12x + x2 = -18

Factor a perfect square on the left side:
(x + -6)(x + -6) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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