(3x+2)-(-3x^2+4x-8)=

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Solution for (3x+2)-(-3x^2+4x-8)= equation: 


Simplifying
(3x + 2) + -1(-3x2 + 4x + -8) = 0

Reorder the terms:
(2 + 3x) + -1(-3x2 + 4x + -8) = 0

Remove parenthesis around (2 + 3x)
2 + 3x + -1(-3x2 + 4x + -8) = 0

Reorder the terms:
2 + 3x + -1(-8 + 4x + -3x2) = 0
2 + 3x + (-8 * -1 + 4x * -1 + -3x2 * -1) = 0
2 + 3x + (8 + -4x + 3x2) = 0

Reorder the terms:
2 + 8 + 3x + -4x + 3x2 = 0

Combine like terms: 2 + 8 = 10
10 + 3x + -4x + 3x2 = 0

Combine like terms: 3x + -4x = -1x
10 + -1x + 3x2 = 0

Solving
10 + -1x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
3.333333333 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + -0.3333333333x + -3.333333333 + x2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + -0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + -0.3333333333x + x2 = 0 + -3.333333333
-0.3333333333x + x2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
-0.3333333333x + x2 = -3.333333333

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = -3.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = -3.333333333 + 0.02777777779

Combine like terms: -3.333333333 + 0.02777777779 = -3.30555555521
0.02777777779 + -0.3333333333x + x2 = -3.30555555521

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = -3.30555555521

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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