(-a^2+2)-(a^2-4)+(4a^2-7a+7)=

Solution for (-a^2+2)-(a^2-4)+(4a^2-7a+7)= equation:

Simplifying
(-1a2 + 2) + -1(a2 + -4) + (4a2 + -7a + 7) = 0

Reorder the terms:
(2 + -1a2) + -1(a2 + -4) + (4a2 + -7a + 7) = 0

Remove parenthesis around (2 + -1a2)
2 + -1a2 + -1(a2 + -4) + (4a2 + -7a + 7) = 0

Reorder the terms:
2 + -1a2 + -1(-4 + a2) + (4a2 + -7a + 7) = 0
2 + -1a2 + (-4 * -1 + a2 * -1) + (4a2 + -7a + 7) = 0
2 + -1a2 + (4 + -1a2) + (4a2 + -7a + 7) = 0

Reorder the terms:
2 + -1a2 + 4 + -1a2 + (7 + -7a + 4a2) = 0

Remove parenthesis around (7 + -7a + 4a2)
2 + -1a2 + 4 + -1a2 + 7 + -7a + 4a2 = 0

Reorder the terms:
2 + 4 + 7 + -7a + -1a2 + -1a2 + 4a2 = 0

Combine like terms: 2 + 4 = 6
6 + 7 + -7a + -1a2 + -1a2 + 4a2 = 0

Combine like terms: 6 + 7 = 13
13 + -7a + -1a2 + -1a2 + 4a2 = 0

Combine like terms: -1a2 + -1a2 = -2a2
13 + -7a + -2a2 + 4a2 = 0

Combine like terms: -2a2 + 4a2 = 2a2
13 + -7a + 2a2 = 0

Solving
13 + -7a + 2a2 = 0

Solving for variable 'a'.

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

Divide each side by '2'.
6.5 + -3.5a + a2 = 0

Move the constant term to the right:

Add '-6.5' to each side of the equation.
6.5 + -3.5a + -6.5 + a2 = 0 + -6.5

Reorder the terms:
6.5 + -6.5 + -3.5a + a2 = 0 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -3.5a + a2 = 0 + -6.5
-3.5a + a2 = 0 + -6.5

Combine like terms: 0 + -6.5 = -6.5
-3.5a + a2 = -6.5

The a term is -3.5a.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5a + 3.0625 + a2 = -6.5 + 3.0625

Reorder the terms:
3.0625 + -3.5a + a2 = -6.5 + 3.0625

Combine like terms: -6.5 + 3.0625 = -3.4375
3.0625 + -3.5a + a2 = -3.4375

Factor a perfect square on the left side:
(a + -1.75)(a + -1.75) = -3.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.