0=-2t^2+t-3

Solution for 0=-2t^2+t-3 equation:

Simplifying
0 = -2t2 + t + -3

Reorder the terms:
0 = -3 + t + -2t2

Solving
0 = -3 + t + -2t2

Solving for variable 't'.

Combine like terms: 0 + 3 = 3
3 + -1t + 2t2 = -3 + t + -2t2 + 3 + -1t + 2t2

Reorder the terms:
3 + -1t + 2t2 = -3 + 3 + t + -1t + -2t2 + 2t2

Combine like terms: -3 + 3 = 0
3 + -1t + 2t2 = 0 + t + -1t + -2t2 + 2t2
3 + -1t + 2t2 = t + -1t + -2t2 + 2t2

Combine like terms: t + -1t = 0
3 + -1t + 2t2 = 0 + -2t2 + 2t2
3 + -1t + 2t2 = -2t2 + 2t2

Combine like terms: -2t2 + 2t2 = 0
3 + -1t + 2t2 = 0

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

Divide each side by '2'.
1.5 + -0.5t + t2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.5t + -1.5 + t2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.5t + t2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.5t + t2 = 0 + -1.5
-0.5t + t2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.5t + t2 = -1.5

The t term is -0.5t.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5t + 0.0625 + t2 = -1.5 + 0.0625

Reorder the terms:
0.0625 + -0.5t + t2 = -1.5 + 0.0625

Combine like terms: -1.5 + 0.0625 = -1.4375
0.0625 + -0.5t + t2 = -1.4375

Factor a perfect square on the left side:
(t + -0.25)(t + -0.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.