M^2-2M=-2

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Solution for M^2-2M=-2 equation:


Simplifying
M2 + -2M = -2

Reorder the terms:
-2M + M2 = -2

Solving
-2M + M2 = -2

Solving for variable 'M'.

Reorder the terms:
2 + -2M + M2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -2M + M2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2M + -2 + M2 = 0 + -2

Reorder the terms:
2 + -2 + -2M + M2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2M + M2 = 0 + -2
-2M + M2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2M + M2 = -2

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 = -2 + 1

Reorder the terms:
1 + -2M + M2 = -2 + 1

Combine like terms: -2 + 1 = -1
1 + -2M + M2 = -1

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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