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

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


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

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

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

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

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

Combine like terms: -2 + 8 = 6
6 + -2x + 3x + 4x2 + 3x2 = 0

Combine like terms: -2x + 3x = 1x
6 + 1x + 4x2 + 3x2 = 0

Combine like terms: 4x2 + 3x2 = 7x2
6 + 1x + 7x2 = 0

Solving
6 + 1x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.8571428571 + 0.1428571429x + x2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 0.1428571429x + -0.8571428571 + x2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 0.1428571429x + x2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 0.1428571429x + x2 = 0 + -0.8571428571
0.1428571429x + x2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
0.1428571429x + x2 = -0.8571428571

The x term is 0.1428571429x.  Take half its coefficient (0.07142857145).
Square it (0.005102040819) and add it to both sides.

Add '0.005102040819' to each side of the equation.
0.1428571429x + 0.005102040819 + x2 = -0.8571428571 + 0.005102040819

Reorder the terms:
0.005102040819 + 0.1428571429x + x2 = -0.8571428571 + 0.005102040819

Combine like terms: -0.8571428571 + 0.005102040819 = -0.852040816281
0.005102040819 + 0.1428571429x + x2 = -0.852040816281

Factor a perfect square on the left side:
(x + 0.07142857145)(x + 0.07142857145) = -0.852040816281

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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