16m^2-12m+21=0

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Solution for 16m^2-12m+21=0 equation:


Simplifying
16m2 + -12m + 21 = 0

Reorder the terms:
21 + -12m + 16m2 = 0

Solving
21 + -12m + 16m2 = 0

Solving for variable 'm'.

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

Divide each side by '16'.
1.3125 + -0.75m + m2 = 0

Move the constant term to the right:

Add '-1.3125' to each side of the equation.
1.3125 + -0.75m + -1.3125 + m2 = 0 + -1.3125

Reorder the terms:
1.3125 + -1.3125 + -0.75m + m2 = 0 + -1.3125

Combine like terms: 1.3125 + -1.3125 = 0.0000
0.0000 + -0.75m + m2 = 0 + -1.3125
-0.75m + m2 = 0 + -1.3125

Combine like terms: 0 + -1.3125 = -1.3125
-0.75m + m2 = -1.3125

The m term is -0.75m.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75m + 0.140625 + m2 = -1.3125 + 0.140625

Reorder the terms:
0.140625 + -0.75m + m2 = -1.3125 + 0.140625

Combine like terms: -1.3125 + 0.140625 = -1.171875
0.140625 + -0.75m + m2 = -1.171875

Factor a perfect square on the left side:
(m + -0.375)(m + -0.375) = -1.171875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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