x^2+55=6x

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Solution for x^2+55=6x equation:


Simplifying
x2 + 55 = 6x

Reorder the terms:
55 + x2 = 6x

Solving
55 + x2 = 6x

Solving for variable 'x'.

Reorder the terms:
55 + -6x + x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
55 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -6x + -55 + x2 = 0 + -55

Reorder the terms:
55 + -55 + -6x + x2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -6x + x2 = 0 + -55
-6x + x2 = 0 + -55

Combine like terms: 0 + -55 = -55
-6x + x2 = -55

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -55 + 9

Reorder the terms:
9 + -6x + x2 = -55 + 9

Combine like terms: -55 + 9 = -46
9 + -6x + x2 = -46

Factor a perfect square on the left side:
(x + -3)(x + -3) = -46

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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