8m^2-9m+6=0

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Solution for 8m^2-9m+6=0 equation:


Simplifying
8m2 + -9m + 6 = 0

Reorder the terms:
6 + -9m + 8m2 = 0

Solving
6 + -9m + 8m2 = 0

Solving for variable 'm'.

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

Divide each side by '8'.
0.75 + -1.125m + m2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.125m + -0.75 + m2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.125m + m2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.125m + m2 = 0 + -0.75
-1.125m + m2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.125m + m2 = -0.75

The m term is -1.125m.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125m + 0.31640625 + m2 = -0.75 + 0.31640625

Reorder the terms:
0.31640625 + -1.125m + m2 = -0.75 + 0.31640625

Combine like terms: -0.75 + 0.31640625 = -0.43359375
0.31640625 + -1.125m + m2 = -0.43359375

Factor a perfect square on the left side:
(m + -0.5625)(m + -0.5625) = -0.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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