45m^2-56m+45=0

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Solution for 45m^2-56m+45=0 equation:


Simplifying
45m2 + -56m + 45 = 0

Reorder the terms:
45 + -56m + 45m2 = 0

Solving
45 + -56m + 45m2 = 0

Solving for variable 'm'.

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

Divide each side by '45'.
1 + -1.244444444m + m2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.244444444m + -1 + m2 = 0 + -1

Reorder the terms:
1 + -1 + -1.244444444m + m2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.244444444m + m2 = 0 + -1
-1.244444444m + m2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.244444444m + m2 = -1

The m term is -1.244444444m.  Take half its coefficient (-0.622222222).
Square it (0.3871604936) and add it to both sides.

Add '0.3871604936' to each side of the equation.
-1.244444444m + 0.3871604936 + m2 = -1 + 0.3871604936

Reorder the terms:
0.3871604936 + -1.244444444m + m2 = -1 + 0.3871604936

Combine like terms: -1 + 0.3871604936 = -0.6128395064
0.3871604936 + -1.244444444m + m2 = -0.6128395064

Factor a perfect square on the left side:
(m + -0.622222222)(m + -0.622222222) = -0.6128395064

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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