15a^2+4a+13=0

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Solution for 15a^2+4a+13=0 equation:


Simplifying
15a2 + 4a + 13 = 0

Reorder the terms:
13 + 4a + 15a2 = 0

Solving
13 + 4a + 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'.
0.8666666667 + 0.2666666667a + a2 = 0

Move the constant term to the right:

Add '-0.8666666667' to each side of the equation.
0.8666666667 + 0.2666666667a + -0.8666666667 + a2 = 0 + -0.8666666667

Reorder the terms:
0.8666666667 + -0.8666666667 + 0.2666666667a + a2 = 0 + -0.8666666667

Combine like terms: 0.8666666667 + -0.8666666667 = 0.0000000000
0.0000000000 + 0.2666666667a + a2 = 0 + -0.8666666667
0.2666666667a + a2 = 0 + -0.8666666667

Combine like terms: 0 + -0.8666666667 = -0.8666666667
0.2666666667a + a2 = -0.8666666667

The a term is 0.2666666667a.  Take half its coefficient (0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
0.2666666667a + 0.01777777780 + a2 = -0.8666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + 0.2666666667a + a2 = -0.8666666667 + 0.01777777780

Combine like terms: -0.8666666667 + 0.01777777780 = -0.8488888889
0.01777777780 + 0.2666666667a + a2 = -0.8488888889

Factor a perfect square on the left side:
(a + 0.1333333334)(a + 0.1333333334) = -0.8488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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