m^2-2m+22=0

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Solution for m^2-2m+22=0 equation:


Simplifying
m2 + -2m + 22 = 0

Reorder the terms:
22 + -2m + m2 = 0

Solving
22 + -2m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -2m + -22 + m2 = 0 + -22

Reorder the terms:
22 + -22 + -2m + m2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -2m + m2 = 0 + -22
-2m + m2 = 0 + -22

Combine like terms: 0 + -22 = -22
-2m + m2 = -22

The m term is -2m.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2m + 1 + m2 = -22 + 1

Reorder the terms:
1 + -2m + m2 = -22 + 1

Combine like terms: -22 + 1 = -21
1 + -2m + m2 = -21

Factor a perfect square on the left side:
(m + -1)(m + -1) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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