m^2+m=-4

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Solution for m^2+m=-4 equation:


Simplifying
m2 + m = -4

Reorder the terms:
m + m2 = -4

Solving
m + m2 = -4

Solving for variable 'm'.

Reorder the terms:
4 + m + m2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + m + -4 + m2 = 0 + -4

Reorder the terms:
4 + -4 + m + m2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + m + m2 = 0 + -4
m + m2 = 0 + -4

Combine like terms: 0 + -4 = -4
m + m2 = -4

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.
m + 0.25 + m2 = -4 + 0.25

Reorder the terms:
0.25 + m + m2 = -4 + 0.25

Combine like terms: -4 + 0.25 = -3.75
0.25 + m + m2 = -3.75

Factor a perfect square on the left side:
(m + 0.5)(m + 0.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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