3+m=2m(-m)

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Solution for 3+m=2m(-m) equation:


Simplifying
3 + m = 2m(-1m)

Remove parenthesis around (-1m)
3 + m = 2m * -1m

Reorder the terms for easier multiplication:
3 + m = 2 * -1m * m

Multiply 2 * -1
3 + m = -2m * m

Multiply m * m
3 + m = -2m2

Solving
3 + m = -2m2

Solving for variable 'm'.

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

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
1.5 + 0.5m + m2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.5m + -1.5 + m2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.5m + m2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5m + m2 = 0 + -1.5
0.5m + m2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.5m + m2 = -1.5

The m term is m.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.5m + 0.25 + m2 = -1.5 + 0.25

Reorder the terms:
0.25 + 0.5m + m2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + 0.5m + m2 = -1.25

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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