(9a^4-3a^2+2)+(4a^4-4a^2+2)+(-12a^4+6a^2-3)=

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Solution for (9a^4-3a^2+2)+(4a^4-4a^2+2)+(-12a^4+6a^2-3)= equation: 


Simplifying
(9a4 + -3a2 + 2) + (4a4 + -4a2 + 2) + (-12a4 + 6a2 + -3) = 0

Reorder the terms:
(2 + -3a2 + 9a4) + (4a4 + -4a2 + 2) + (-12a4 + 6a2 + -3) = 0

Remove parenthesis around (2 + -3a2 + 9a4)
2 + -3a2 + 9a4 + (4a4 + -4a2 + 2) + (-12a4 + 6a2 + -3) = 0

Reorder the terms:
2 + -3a2 + 9a4 + (2 + -4a2 + 4a4) + (-12a4 + 6a2 + -3) = 0

Remove parenthesis around (2 + -4a2 + 4a4)
2 + -3a2 + 9a4 + 2 + -4a2 + 4a4 + (-12a4 + 6a2 + -3) = 0

Reorder the terms:
2 + -3a2 + 9a4 + 2 + -4a2 + 4a4 + (-3 + 6a2 + -12a4) = 0

Remove parenthesis around (-3 + 6a2 + -12a4)
2 + -3a2 + 9a4 + 2 + -4a2 + 4a4 + -3 + 6a2 + -12a4 = 0

Reorder the terms:
2 + 2 + -3 + -3a2 + -4a2 + 6a2 + 9a4 + 4a4 + -12a4 = 0

Combine like terms: 2 + 2 = 4
4 + -3 + -3a2 + -4a2 + 6a2 + 9a4 + 4a4 + -12a4 = 0

Combine like terms: 4 + -3 = 1
1 + -3a2 + -4a2 + 6a2 + 9a4 + 4a4 + -12a4 = 0

Combine like terms: -3a2 + -4a2 = -7a2
1 + -7a2 + 6a2 + 9a4 + 4a4 + -12a4 = 0

Combine like terms: -7a2 + 6a2 = -1a2
1 + -1a2 + 9a4 + 4a4 + -12a4 = 0

Combine like terms: 9a4 + 4a4 = 13a4
1 + -1a2 + 13a4 + -12a4 = 0

Combine like terms: 13a4 + -12a4 = 1a4
1 + -1a2 + 1a4 = 0

Solving
1 + -1a2 + 1a4 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1a2 + -1 + a4 = 0 + -1

Reorder the terms:
1 + -1 + -1a2 + a4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1a2 + a4 = 0 + -1
-1a2 + a4 = 0 + -1

Combine like terms: 0 + -1 = -1
-1a2 + a4 = -1

The a term is -1a2.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a2 + 0.25 + a4 = -1 + 0.25

Reorder the terms:
0.25 + -1a2 + a4 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -1a2 + a4 = -0.75

Factor a perfect square on the left side:
(a2 + -0.5)(a2 + -0.5) = -0.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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