(5x^2-2x-2)-(-3x^2-3x-8)=

Solution for (5x^2-2x-2)-(-3x^2-3x-8)= equation:

Simplifying
(5x2 + -2x + -2) + -1(-3x2 + -3x + -8) = 0

Reorder the terms:
(-2 + -2x + 5x2) + -1(-3x2 + -3x + -8) = 0

Remove parenthesis around (-2 + -2x + 5x2)
-2 + -2x + 5x2 + -1(-3x2 + -3x + -8) = 0

Reorder the terms:
-2 + -2x + 5x2 + -1(-8 + -3x + -3x2) = 0
-2 + -2x + 5x2 + (-8 * -1 + -3x * -1 + -3x2 * -1) = 0
-2 + -2x + 5x2 + (8 + 3x + 3x2) = 0

Reorder the terms:
-2 + 8 + -2x + 3x + 5x2 + 3x2 = 0

Combine like terms: -2 + 8 = 6
6 + -2x + 3x + 5x2 + 3x2 = 0

Combine like terms: -2x + 3x = 1x
6 + 1x + 5x2 + 3x2 = 0

Combine like terms: 5x2 + 3x2 = 8x2
6 + 1x + 8x2 = 0

Solving
6 + 1x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.75 + 0.125x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.125x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.125x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.125x + x2 = 0 + -0.75
0.125x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.125x + x2 = -0.75

The x term is 0.125x.  Take half its coefficient (0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
0.125x + 0.00390625 + x2 = -0.75 + 0.00390625

Reorder the terms:
0.00390625 + 0.125x + x2 = -0.75 + 0.00390625

Combine like terms: -0.75 + 0.00390625 = -0.74609375
0.00390625 + 0.125x + x2 = -0.74609375

Factor a perfect square on the left side:
(x + 0.0625)(x + 0.0625) = -0.74609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.