m^2-6m+55=0

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Solution for m^2-6m+55=0 equation:


Simplifying
m2 + -6m + 55 = 0

Reorder the terms:
55 + -6m + m2 = 0

Solving
55 + -6m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -6m + -55 + m2 = 0 + -55

Reorder the terms:
55 + -55 + -6m + m2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -6m + m2 = 0 + -55
-6m + m2 = 0 + -55

Combine like terms: 0 + -55 = -55
-6m + m2 = -55

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

Add '9' to each side of the equation.
-6m + 9 + m2 = -55 + 9

Reorder the terms:
9 + -6m + m2 = -55 + 9

Combine like terms: -55 + 9 = -46
9 + -6m + m2 = -46

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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