m^2-8m=-36

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Solution for m^2-8m=-36 equation:


Simplifying
m2 + -8m = -36

Reorder the terms:
-8m + m2 = -36

Solving
-8m + m2 = -36

Solving for variable 'm'.

Reorder the terms:
36 + -8m + m2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + -8m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -8m + -36 + m2 = 0 + -36

Reorder the terms:
36 + -36 + -8m + m2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -8m + m2 = 0 + -36
-8m + m2 = 0 + -36

Combine like terms: 0 + -36 = -36
-8m + m2 = -36

The m term is -8m.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8m + 16 + m2 = -36 + 16

Reorder the terms:
16 + -8m + m2 = -36 + 16

Combine like terms: -36 + 16 = -20
16 + -8m + m2 = -20

Factor a perfect square on the left side:
(m + -4)(m + -4) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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