15a^2+2a+16=0

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Solution for 15a^2+2a+16=0 equation: 


Simplifying
15a2 + 2a + 16 = 0

Reorder the terms:
16 + 2a + 15a2 = 0

Solving
16 + 2a + 15a2 = 0

Solving for variable 'a'.

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

Divide each side by '15'.
1.066666667 + 0.1333333333a + a2 = 0

Move the constant term to the right:

Add '-1.066666667' to each side of the equation.
1.066666667 + 0.1333333333a + -1.066666667 + a2 = 0 + -1.066666667

Reorder the terms:
1.066666667 + -1.066666667 + 0.1333333333a + a2 = 0 + -1.066666667

Combine like terms: 1.066666667 + -1.066666667 = 0.000000000
0.000000000 + 0.1333333333a + a2 = 0 + -1.066666667
0.1333333333a + a2 = 0 + -1.066666667

Combine like terms: 0 + -1.066666667 = -1.066666667
0.1333333333a + a2 = -1.066666667

The a term is 0.1333333333a.  Take half its coefficient (0.06666666665).
Square it (0.004444444442) and add it to both sides.

Add '0.004444444442' to each side of the equation.
0.1333333333a + 0.004444444442 + a2 = -1.066666667 + 0.004444444442

Reorder the terms:
0.004444444442 + 0.1333333333a + a2 = -1.066666667 + 0.004444444442

Combine like terms: -1.066666667 + 0.004444444442 = -1.062222222558
0.004444444442 + 0.1333333333a + a2 = -1.062222222558

Factor a perfect square on the left side:
(a + 0.06666666665)(a + 0.06666666665) = -1.062222222558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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