2-5x^2+4x-5=x+3

Solution for 2-5x^2+4x-5=x+3 equation:

Simplifying
2 + -5x2 + 4x + -5 = x + 3

Reorder the terms:
2 + -5 + 4x + -5x2 = x + 3

Combine like terms: 2 + -5 = -3
-3 + 4x + -5x2 = x + 3

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

Solving
-3 + 4x + -5x2 = 3 + x

Solving for variable 'x'.

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

Combine like terms: -3 + -3 = -6
-6 + 4x + -1x + -5x2 = 3 + x + -3 + -1x

Combine like terms: 4x + -1x = 3x
-6 + 3x + -5x2 = 3 + x + -3 + -1x

Reorder the terms:
-6 + 3x + -5x2 = 3 + -3 + x + -1x

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

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

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.2 + -0.6x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -0.6x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -0.6x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -0.6x + x2 = 0 + -1.2
-0.6x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-0.6x + x2 = -1.2

The x term is -0.6x.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6x + 0.09 + x2 = -1.2 + 0.09

Reorder the terms:
0.09 + -0.6x + x2 = -1.2 + 0.09

Combine like terms: -1.2 + 0.09 = -1.11
0.09 + -0.6x + x2 = -1.11

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -1.11

Can't calculate square root of the right side.

The solution to this equation could not be determined.