12a^2+11a+15=0

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Solution for 12a^2+11a+15=0 equation:


Simplifying
12a2 + 11a + 15 = 0

Reorder the terms:
15 + 11a + 12a2 = 0

Solving
15 + 11a + 12a2 = 0

Solving for variable 'a'.

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

Divide each side by '12'.
1.25 + 0.9166666667a + a2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.9166666667a + -1.25 + a2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.9166666667a + a2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.9166666667a + a2 = 0 + -1.25
0.9166666667a + a2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.9166666667a + a2 = -1.25

The a term is 0.9166666667a.  Take half its coefficient (0.4583333334).
Square it (0.2100694445) and add it to both sides.

Add '0.2100694445' to each side of the equation.
0.9166666667a + 0.2100694445 + a2 = -1.25 + 0.2100694445

Reorder the terms:
0.2100694445 + 0.9166666667a + a2 = -1.25 + 0.2100694445

Combine like terms: -1.25 + 0.2100694445 = -1.0399305555
0.2100694445 + 0.9166666667a + a2 = -1.0399305555

Factor a perfect square on the left side:
(a + 0.4583333334)(a + 0.4583333334) = -1.0399305555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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