14a^2+15a+9=

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Solution for 14a^2+15a+9= equation:


Simplifying
14a2 + 15a + 9 = 0

Reorder the terms:
9 + 15a + 14a2 = 0

Solving
9 + 15a + 14a2 = 0

Solving for variable 'a'.

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

Divide each side by '14'.
0.6428571429 + 1.071428571a + a2 = 0

Move the constant term to the right:

Add '-0.6428571429' to each side of the equation.
0.6428571429 + 1.071428571a + -0.6428571429 + a2 = 0 + -0.6428571429

Reorder the terms:
0.6428571429 + -0.6428571429 + 1.071428571a + a2 = 0 + -0.6428571429

Combine like terms: 0.6428571429 + -0.6428571429 = 0.0000000000
0.0000000000 + 1.071428571a + a2 = 0 + -0.6428571429
1.071428571a + a2 = 0 + -0.6428571429

Combine like terms: 0 + -0.6428571429 = -0.6428571429
1.071428571a + a2 = -0.6428571429

The a term is 1.071428571a.  Take half its coefficient (0.5357142855).
Square it (0.2869897957) and add it to both sides.

Add '0.2869897957' to each side of the equation.
1.071428571a + 0.2869897957 + a2 = -0.6428571429 + 0.2869897957

Reorder the terms:
0.2869897957 + 1.071428571a + a2 = -0.6428571429 + 0.2869897957

Combine like terms: -0.6428571429 + 0.2869897957 = -0.3558673472
0.2869897957 + 1.071428571a + a2 = -0.3558673472

Factor a perfect square on the left side:
(a + 0.5357142855)(a + 0.5357142855) = -0.3558673472

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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