-5x^2+3x-1=2

Solution for -5x^2+3x-1=2 equation:

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

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

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

Solving for variable 'x'.

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

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

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

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

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

Move the constant term to the right:

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

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

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

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

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 = -0.6 + 0.09

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

Combine like terms: -0.6 + 0.09 = -0.51
0.09 + -0.6x + x2 = -0.51

Factor a perfect square on the left side:
(x + -0.3)(x + -0.3) = -0.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.