m^2-4m=-8

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Solution for m^2-4m=-8 equation:


Simplifying
m2 + -4m = -8

Reorder the terms:
-4m + m2 = -8

Solving
-4m + m2 = -8

Solving for variable 'm'.

Reorder the terms:
8 + -4m + m2 = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4m + -8 + m2 = 0 + -8

Reorder the terms:
8 + -8 + -4m + m2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4m + m2 = 0 + -8
-4m + m2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4m + m2 = -8

The m term is -4m.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4m + 4 + m2 = -8 + 4

Reorder the terms:
4 + -4m + m2 = -8 + 4

Combine like terms: -8 + 4 = -4
4 + -4m + m2 = -4

Factor a perfect square on the left side:
(m + -2)(m + -2) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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