(3a^2-6a+8)+(6a^2-4)+(2a^2-a+12)=

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Solution for (3a^2-6a+8)+(6a^2-4)+(2a^2-a+12)= equation:


Simplifying
(3a2 + -6a + 8) + (6a2 + -4) + (2a2 + -1a + 12) = 0

Reorder the terms:
(8 + -6a + 3a2) + (6a2 + -4) + (2a2 + -1a + 12) = 0

Remove parenthesis around (8 + -6a + 3a2)
8 + -6a + 3a2 + (6a2 + -4) + (2a2 + -1a + 12) = 0

Reorder the terms:
8 + -6a + 3a2 + (-4 + 6a2) + (2a2 + -1a + 12) = 0

Remove parenthesis around (-4 + 6a2)
8 + -6a + 3a2 + -4 + 6a2 + (2a2 + -1a + 12) = 0

Reorder the terms:
8 + -6a + 3a2 + -4 + 6a2 + (12 + -1a + 2a2) = 0

Remove parenthesis around (12 + -1a + 2a2)
8 + -6a + 3a2 + -4 + 6a2 + 12 + -1a + 2a2 = 0

Reorder the terms:
8 + -4 + 12 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0

Combine like terms: 8 + -4 = 4
4 + 12 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0

Combine like terms: 4 + 12 = 16
16 + -6a + -1a + 3a2 + 6a2 + 2a2 = 0

Combine like terms: -6a + -1a = -7a
16 + -7a + 3a2 + 6a2 + 2a2 = 0

Combine like terms: 3a2 + 6a2 = 9a2
16 + -7a + 9a2 + 2a2 = 0

Combine like terms: 9a2 + 2a2 = 11a2
16 + -7a + 11a2 = 0

Solving
16 + -7a + 11a2 = 0

Solving for variable 'a'.

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

Divide each side by '11'.
1.454545455 + -0.6363636364a + a2 = 0

Move the constant term to the right:

Add '-1.454545455' to each side of the equation.
1.454545455 + -0.6363636364a + -1.454545455 + a2 = 0 + -1.454545455

Reorder the terms:
1.454545455 + -1.454545455 + -0.6363636364a + a2 = 0 + -1.454545455

Combine like terms: 1.454545455 + -1.454545455 = 0.000000000
0.000000000 + -0.6363636364a + a2 = 0 + -1.454545455
-0.6363636364a + a2 = 0 + -1.454545455

Combine like terms: 0 + -1.454545455 = -1.454545455
-0.6363636364a + a2 = -1.454545455

The a term is -0.6363636364a.  Take half its coefficient (-0.3181818182).
Square it (0.1012396694) and add it to both sides.

Add '0.1012396694' to each side of the equation.
-0.6363636364a + 0.1012396694 + a2 = -1.454545455 + 0.1012396694

Reorder the terms:
0.1012396694 + -0.6363636364a + a2 = -1.454545455 + 0.1012396694

Combine like terms: -1.454545455 + 0.1012396694 = -1.3533057856
0.1012396694 + -0.6363636364a + a2 = -1.3533057856

Factor a perfect square on the left side:
(a + -0.3181818182)(a + -0.3181818182) = -1.3533057856

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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