16a^2-19a+10=

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Solution for 16a^2-19a+10= equation:


Simplifying
16a2 + -19a + 10 = 0

Reorder the terms:
10 + -19a + 16a2 = 0

Solving
10 + -19a + 16a2 = 0

Solving for variable 'a'.

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

Divide each side by '16'.
0.625 + -1.1875a + a2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + -1.1875a + -0.625 + a2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + -1.1875a + a2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -1.1875a + a2 = 0 + -0.625
-1.1875a + a2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
-1.1875a + a2 = -0.625

The a term is -1.1875a.  Take half its coefficient (-0.59375).
Square it (0.3525390625) and add it to both sides.

Add '0.3525390625' to each side of the equation.
-1.1875a + 0.3525390625 + a2 = -0.625 + 0.3525390625

Reorder the terms:
0.3525390625 + -1.1875a + a2 = -0.625 + 0.3525390625

Combine like terms: -0.625 + 0.3525390625 = -0.2724609375
0.3525390625 + -1.1875a + a2 = -0.2724609375

Factor a perfect square on the left side:
(a + -0.59375)(a + -0.59375) = -0.2724609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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