m^2-20m+206=0

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Solution for m^2-20m+206=0 equation: 


Simplifying
m2 + -20m + 206 = 0

Reorder the terms:
206 + -20m + m2 = 0

Solving
206 + -20m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-206' to each side of the equation.
206 + -20m + -206 + m2 = 0 + -206

Reorder the terms:
206 + -206 + -20m + m2 = 0 + -206

Combine like terms: 206 + -206 = 0
0 + -20m + m2 = 0 + -206
-20m + m2 = 0 + -206

Combine like terms: 0 + -206 = -206
-20m + m2 = -206

The m term is -20m.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20m + 100 + m2 = -206 + 100

Reorder the terms:
100 + -20m + m2 = -206 + 100

Combine like terms: -206 + 100 = -106
100 + -20m + m2 = -106

Factor a perfect square on the left side:
(m + -10)(m + -10) = -106

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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