-13m^2+33m-36=0

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Solution for -13m^2+33m-36=0 equation:


Simplifying
-13m2 + 33m + -36 = 0

Reorder the terms:
-36 + 33m + -13m2 = 0

Solving
-36 + 33m + -13m2 = 0

Solving for variable 'm'.

Begin completing the square.  Divide all terms by
-13 the coefficient of the squared term: 

Divide each side by '-13'.
2.769230769 + -2.538461538m + m2 = 0

Move the constant term to the right:

Add '-2.769230769' to each side of the equation.
2.769230769 + -2.538461538m + -2.769230769 + m2 = 0 + -2.769230769

Reorder the terms:
2.769230769 + -2.769230769 + -2.538461538m + m2 = 0 + -2.769230769

Combine like terms: 2.769230769 + -2.769230769 = 0.000000000
0.000000000 + -2.538461538m + m2 = 0 + -2.769230769
-2.538461538m + m2 = 0 + -2.769230769

Combine like terms: 0 + -2.769230769 = -2.769230769
-2.538461538m + m2 = -2.769230769

The m term is -2.538461538m.  Take half its coefficient (-1.269230769).
Square it (1.610946745) and add it to both sides.

Add '1.610946745' to each side of the equation.
-2.538461538m + 1.610946745 + m2 = -2.769230769 + 1.610946745

Reorder the terms:
1.610946745 + -2.538461538m + m2 = -2.769230769 + 1.610946745

Combine like terms: -2.769230769 + 1.610946745 = -1.158284024
1.610946745 + -2.538461538m + m2 = -1.158284024

Factor a perfect square on the left side:
(m + -1.269230769)(m + -1.269230769) = -1.158284024

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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