4a^2-33a^2+35a=14028.5

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Solution for 4a^2-33a^2+35a=14028.5 equation: 


Simplifying
4a2 + -33a2 + 35a = 14028.5

Reorder the terms:
35a + 4a2 + -33a2 = 14028.5

Combine like terms: 4a2 + -33a2 = -29a2
35a + -29a2 = 14028.5

Solving
35a + -29a2 = 14028.5

Solving for variable 'a'.

Reorder the terms:
-14028.5 + 35a + -29a2 = 14028.5 + -14028.5

Combine like terms: 14028.5 + -14028.5 = 0.0
-14028.5 + 35a + -29a2 = 0.0

Begin completing the square.  Divide all terms by
-29 the coefficient of the squared term: 

Divide each side by '-29'.
483.7413793 + -1.206896552a + a2 = 0.0

Move the constant term to the right:

Add '-483.7413793' to each side of the equation.
483.7413793 + -1.206896552a + -483.7413793 + a2 = 0.0 + -483.7413793

Reorder the terms:
483.7413793 + -483.7413793 + -1.206896552a + a2 = 0.0 + -483.7413793

Combine like terms: 483.7413793 + -483.7413793 = 0.0000000
0.0000000 + -1.206896552a + a2 = 0.0 + -483.7413793
-1.206896552a + a2 = 0.0 + -483.7413793

Combine like terms: 0.0 + -483.7413793 = -483.7413793
-1.206896552a + a2 = -483.7413793

The a term is -1.206896552a.  Take half its coefficient (-0.603448276).
Square it (0.3641498218) and add it to both sides.

Add '0.3641498218' to each side of the equation.
-1.206896552a + 0.3641498218 + a2 = -483.7413793 + 0.3641498218

Reorder the terms:
0.3641498218 + -1.206896552a + a2 = -483.7413793 + 0.3641498218

Combine like terms: -483.7413793 + 0.3641498218 = -483.3772294782
0.3641498218 + -1.206896552a + a2 = -483.3772294782

Factor a perfect square on the left side:
(a + -0.603448276)(a + -0.603448276) = -483.3772294782

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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