m=-6m^2+5m-5

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Solution for m=-6m^2+5m-5 equation: 


Simplifying
m = -6m2 + 5m + -5

Reorder the terms:
m = -5 + 5m + -6m2

Solving
m = -5 + 5m + -6m2

Solving for variable 'm'.

Reorder the terms:
5 + m + -5m + 6m2 = -5 + 5m + -6m2 + 5 + -5m + 6m2

Combine like terms: m + -5m = -4m
5 + -4m + 6m2 = -5 + 5m + -6m2 + 5 + -5m + 6m2

Reorder the terms:
5 + -4m + 6m2 = -5 + 5 + 5m + -5m + -6m2 + 6m2

Combine like terms: -5 + 5 = 0
5 + -4m + 6m2 = 0 + 5m + -5m + -6m2 + 6m2
5 + -4m + 6m2 = 5m + -5m + -6m2 + 6m2

Combine like terms: 5m + -5m = 0
5 + -4m + 6m2 = 0 + -6m2 + 6m2
5 + -4m + 6m2 = -6m2 + 6m2

Combine like terms: -6m2 + 6m2 = 0
5 + -4m + 6m2 = 0

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

Divide each side by '6'.
0.8333333333 + -0.6666666667m + m2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + -0.6666666667m + -0.8333333333 + m2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + -0.6666666667m + m2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + -0.6666666667m + m2 = 0 + -0.8333333333
-0.6666666667m + m2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
-0.6666666667m + m2 = -0.8333333333

The m term is -0.6666666667m.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667m + 0.1111111112 + m2 = -0.8333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667m + m2 = -0.8333333333 + 0.1111111112

Combine like terms: -0.8333333333 + 0.1111111112 = -0.7222222221
0.1111111112 + -0.6666666667m + m2 = -0.7222222221

Factor a perfect square on the left side:
(m + -0.3333333334)(m + -0.3333333334) = -0.7222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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