3m^2-5m+8=0

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Solution for 3m^2-5m+8=0 equation: 


Simplifying
3m2 + -5m + 8 = 0

Reorder the terms:
8 + -5m + 3m2 = 0

Solving
8 + -5m + 3m2 = 0

Solving for variable 'm'.

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

Divide each side by '3'.
2.666666667 + -1.666666667m + m2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -1.666666667m + -2.666666667 + m2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -1.666666667m + m2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -1.666666667m + m2 = 0 + -2.666666667
-1.666666667m + m2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-1.666666667m + m2 = -2.666666667

The m term is -1.666666667m.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667m + 0.6944444447 + m2 = -2.666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667m + m2 = -2.666666667 + 0.6944444447

Combine like terms: -2.666666667 + 0.6944444447 = -1.9722222223
0.6944444447 + -1.666666667m + m2 = -1.9722222223

Factor a perfect square on the left side:
(m + -0.8333333335)(m + -0.8333333335) = -1.9722222223

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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