m^2-3m+36=0

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Solution for m^2-3m+36=0 equation:


Simplifying
m2 + -3m + 36 = 0

Reorder the terms:
36 + -3m + m2 = 0

Solving
36 + -3m + m2 = 0

Solving for variable 'm'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -3m + -36 + m2 = 0 + -36

Reorder the terms:
36 + -36 + -3m + m2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -3m + m2 = 0 + -36
-3m + m2 = 0 + -36

Combine like terms: 0 + -36 = -36
-3m + m2 = -36

The m term is -3m.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3m + 2.25 + m2 = -36 + 2.25

Reorder the terms:
2.25 + -3m + m2 = -36 + 2.25

Combine like terms: -36 + 2.25 = -33.75
2.25 + -3m + m2 = -33.75

Factor a perfect square on the left side:
(m + -1.5)(m + -1.5) = -33.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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