24m^2-14m+3=0

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Solution for 24m^2-14m+3=0 equation:


Simplifying
24m2 + -14m + 3 = 0

Reorder the terms:
3 + -14m + 24m2 = 0

Solving
3 + -14m + 24m2 = 0

Solving for variable 'm'.

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

Divide each side by '24'.
0.125 + -0.5833333333m + m2 = 0

Move the constant term to the right:

Add '-0.125' to each side of the equation.
0.125 + -0.5833333333m + -0.125 + m2 = 0 + -0.125

Reorder the terms:
0.125 + -0.125 + -0.5833333333m + m2 = 0 + -0.125

Combine like terms: 0.125 + -0.125 = 0.000
0.000 + -0.5833333333m + m2 = 0 + -0.125
-0.5833333333m + m2 = 0 + -0.125

Combine like terms: 0 + -0.125 = -0.125
-0.5833333333m + m2 = -0.125

The m term is -0.5833333333m.  Take half its coefficient (-0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
-0.5833333333m + 0.08506944446 + m2 = -0.125 + 0.08506944446

Reorder the terms:
0.08506944446 + -0.5833333333m + m2 = -0.125 + 0.08506944446

Combine like terms: -0.125 + 0.08506944446 = -0.03993055554
0.08506944446 + -0.5833333333m + m2 = -0.03993055554

Factor a perfect square on the left side:
(m + -0.2916666667)(m + -0.2916666667) = -0.03993055554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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