m^2-7m+72=0

Solution for m^2-7m+72=0 equation:

Simplifying
m2 + -7m + 72 = 0

Reorder the terms:
72 + -7m + m2 = 0

Solving
72 + -7m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.
72 + -7m + -72 + m2 = 0 + -72

Reorder the terms:
72 + -72 + -7m + m2 = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -7m + m2 = 0 + -72
-7m + m2 = 0 + -72

Combine like terms: 0 + -72 = -72
-7m + m2 = -72

The m term is -7m.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7m + 12.25 + m2 = -72 + 12.25

Reorder the terms:
12.25 + -7m + m2 = -72 + 12.25

Combine like terms: -72 + 12.25 = -59.75
12.25 + -7m + m2 = -59.75

Factor a perfect square on the left side:
(m + -3.5)(m + -3.5) = -59.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.