21m^2-4m+49=0

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Solution for 21m^2-4m+49=0 equation:


Simplifying
21m2 + -4m + 49 = 0

Reorder the terms:
49 + -4m + 21m2 = 0

Solving
49 + -4m + 21m2 = 0

Solving for variable 'm'.

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

Divide each side by '21'.
2.333333333 + -0.1904761905m + m2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -0.1904761905m + -2.333333333 + m2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -0.1904761905m + m2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -0.1904761905m + m2 = 0 + -2.333333333
-0.1904761905m + m2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-0.1904761905m + m2 = -2.333333333

The m term is -0.1904761905m.  Take half its coefficient (-0.09523809525).
Square it (0.009070294787) and add it to both sides.

Add '0.009070294787' to each side of the equation.
-0.1904761905m + 0.009070294787 + m2 = -2.333333333 + 0.009070294787

Reorder the terms:
0.009070294787 + -0.1904761905m + m2 = -2.333333333 + 0.009070294787

Combine like terms: -2.333333333 + 0.009070294787 = -2.324263038213
0.009070294787 + -0.1904761905m + m2 = -2.324263038213

Factor a perfect square on the left side:
(m + -0.09523809525)(m + -0.09523809525) = -2.324263038213

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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