-5u^2+2u-3=0

Solution for -5u^2+2u-3=0 equation:

Simplifying
-5u2 + 2u + -3 = 0

Reorder the terms:
-3 + 2u + -5u2 = 0

Solving
-3 + 2u + -5u2 = 0

Solving for variable 'u'.

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

Divide each side by '-5'.
0.6 + -0.4u + u2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + -0.4u + -0.6 + u2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + -0.4u + u2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + -0.4u + u2 = 0 + -0.6
-0.4u + u2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
-0.4u + u2 = -0.6

The u term is -0.4u.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4u + 0.04 + u2 = -0.6 + 0.04

Reorder the terms:
0.04 + -0.4u + u2 = -0.6 + 0.04

Combine like terms: -0.6 + 0.04 = -0.56
0.04 + -0.4u + u2 = -0.56

Factor a perfect square on the left side:
(u + -0.2)(u + -0.2) = -0.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.