(4x^2-x-1)-(-3x^2-3x-5)=

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Solution for (4x^2-x-1)-(-3x^2-3x-5)= equation:


Simplifying
(4x2 + -1x + -1) + -1(-3x2 + -3x + -5) = 0

Reorder the terms:
(-1 + -1x + 4x2) + -1(-3x2 + -3x + -5) = 0

Remove parenthesis around (-1 + -1x + 4x2)
-1 + -1x + 4x2 + -1(-3x2 + -3x + -5) = 0

Reorder the terms:
-1 + -1x + 4x2 + -1(-5 + -3x + -3x2) = 0
-1 + -1x + 4x2 + (-5 * -1 + -3x * -1 + -3x2 * -1) = 0
-1 + -1x + 4x2 + (5 + 3x + 3x2) = 0

Reorder the terms:
-1 + 5 + -1x + 3x + 4x2 + 3x2 = 0

Combine like terms: -1 + 5 = 4
4 + -1x + 3x + 4x2 + 3x2 = 0

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

Combine like terms: 4x2 + 3x2 = 7x2
4 + 2x + 7x2 = 0

Solving
4 + 2x + 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'.
0.5714285714 + 0.2857142857x + x2 = 0

Move the constant term to the right:

Add '-0.5714285714' to each side of the equation.
0.5714285714 + 0.2857142857x + -0.5714285714 + x2 = 0 + -0.5714285714

Reorder the terms:
0.5714285714 + -0.5714285714 + 0.2857142857x + x2 = 0 + -0.5714285714

Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000
0.0000000000 + 0.2857142857x + x2 = 0 + -0.5714285714
0.2857142857x + x2 = 0 + -0.5714285714

Combine like terms: 0 + -0.5714285714 = -0.5714285714
0.2857142857x + x2 = -0.5714285714

The x term is 0.2857142857x.  Take half its coefficient (0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
0.2857142857x + 0.02040816328 + x2 = -0.5714285714 + 0.02040816328

Reorder the terms:
0.02040816328 + 0.2857142857x + x2 = -0.5714285714 + 0.02040816328

Combine like terms: -0.5714285714 + 0.02040816328 = -0.55102040812
0.02040816328 + 0.2857142857x + x2 = -0.55102040812

Factor a perfect square on the left side:
(x + 0.1428571429)(x + 0.1428571429) = -0.55102040812

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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