(-a^2+2)-(a^2-4)+(5a^2-6a+5)=

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Solution for (-a^2+2)-(a^2-4)+(5a^2-6a+5)= equation: 


Simplifying
(-1a2 + 2) + -1(a2 + -4) + (5a2 + -6a + 5) = 0

Reorder the terms:
(2 + -1a2) + -1(a2 + -4) + (5a2 + -6a + 5) = 0

Remove parenthesis around (2 + -1a2)
2 + -1a2 + -1(a2 + -4) + (5a2 + -6a + 5) = 0

Reorder the terms:
2 + -1a2 + -1(-4 + a2) + (5a2 + -6a + 5) = 0
2 + -1a2 + (-4 * -1 + a2 * -1) + (5a2 + -6a + 5) = 0
2 + -1a2 + (4 + -1a2) + (5a2 + -6a + 5) = 0

Reorder the terms:
2 + -1a2 + 4 + -1a2 + (5 + -6a + 5a2) = 0

Remove parenthesis around (5 + -6a + 5a2)
2 + -1a2 + 4 + -1a2 + 5 + -6a + 5a2 = 0

Reorder the terms:
2 + 4 + 5 + -6a + -1a2 + -1a2 + 5a2 = 0

Combine like terms: 2 + 4 = 6
6 + 5 + -6a + -1a2 + -1a2 + 5a2 = 0

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

Combine like terms: -1a2 + -1a2 = -2a2
11 + -6a + -2a2 + 5a2 = 0

Combine like terms: -2a2 + 5a2 = 3a2
11 + -6a + 3a2 = 0

Solving
11 + -6a + 3a2 = 0

Solving for variable 'a'.

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

Divide each side by '3'.
3.666666667 + -2a + a2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + -2a + -3.666666667 + a2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + -2a + a2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + -2a + a2 = 0 + -3.666666667
-2a + a2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
-2a + a2 = -3.666666667

The a term is -2a.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2a + 1 + a2 = -3.666666667 + 1

Reorder the terms:
1 + -2a + a2 = -3.666666667 + 1

Combine like terms: -3.666666667 + 1 = -2.666666667
1 + -2a + a2 = -2.666666667

Factor a perfect square on the left side:
(a + -1)(a + -1) = -2.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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