11a^2+6a+9-4a^2-5a=

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Solution for 11a^2+6a+9-4a^2-5a= equation: 


Simplifying
11a2 + 6a + 9 + -4a2 + -5a = 0

Reorder the terms:
9 + 6a + -5a + 11a2 + -4a2 = 0

Combine like terms: 6a + -5a = 1a
9 + 1a + 11a2 + -4a2 = 0

Combine like terms: 11a2 + -4a2 = 7a2
9 + 1a + 7a2 = 0

Solving
9 + 1a + 7a2 = 0

Solving for variable 'a'.

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

Divide each side by '7'.
1.285714286 + 0.1428571429a + a2 = 0

Move the constant term to the right:

Add '-1.285714286' to each side of the equation.
1.285714286 + 0.1428571429a + -1.285714286 + a2 = 0 + -1.285714286

Reorder the terms:
1.285714286 + -1.285714286 + 0.1428571429a + a2 = 0 + -1.285714286

Combine like terms: 1.285714286 + -1.285714286 = 0.000000000
0.000000000 + 0.1428571429a + a2 = 0 + -1.285714286
0.1428571429a + a2 = 0 + -1.285714286

Combine like terms: 0 + -1.285714286 = -1.285714286
0.1428571429a + a2 = -1.285714286

The a term is 0.1428571429a.  Take half its coefficient (0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
0.1428571429a + 0.005102040819 + a2 = -1.285714286 + 0.005102040819

Reorder the terms:
0.005102040819 + 0.1428571429a + a2 = -1.285714286 + 0.005102040819

Combine like terms: -1.285714286 + 0.005102040819 = -1.280612245181
0.005102040819 + 0.1428571429a + a2 = -1.280612245181

Factor a perfect square on the left side:
(a + 0.07142857145)(a + 0.07142857145) = -1.280612245181

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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