3x^2-x-2=x^2-3x-5

Solution for 3x^2-x-2=x^2-3x-5 equation:

Simplifying
3x2 + -1x + -2 = x2 + -3x + -5

Reorder the terms:
-2 + -1x + 3x2 = x2 + -3x + -5

Reorder the terms:
-2 + -1x + 3x2 = -5 + -3x + x2

Solving
-2 + -1x + 3x2 = -5 + -3x + x2

Solving for variable 'x'.

Reorder the terms:
-2 + 5 + -1x + 3x + 3x2 + -1x2 = -5 + -3x + x2 + 5 + 3x + -1x2

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

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

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

Reorder the terms:
3 + 2x + 2x2 = -5 + 5 + -3x + 3x + x2 + -1x2

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

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

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

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

Divide each side by '2'.
1.5 + x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x + x2 = 0 + -1.5
x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
x + x2 = -1.5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -1.5 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
1.25 + x2 = -1.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.