5t^2-3t+8=0

Solution for 5t^2-3t+8=0 equation:

Simplifying
5t2 + -3t + 8 = 0

Reorder the terms:
8 + -3t + 5t2 = 0

Solving
8 + -3t + 5t2 = 0

Solving for variable 't'.

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

Divide each side by '5'.
1.6 + -0.6t + t2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -0.6t + -1.6 + t2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -0.6t + t2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.6t + t2 = 0 + -1.6
-0.6t + t2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-0.6t + t2 = -1.6

The t term is -0.6t.  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.
-0.6t + 0.09 + t2 = -1.6 + 0.09

Reorder the terms:
0.09 + -0.6t + t2 = -1.6 + 0.09

Combine like terms: -1.6 + 0.09 = -1.51
0.09 + -0.6t + t2 = -1.51

Factor a perfect square on the left side:
(t + -0.3)(t + -0.3) = -1.51

Can't calculate square root of the right side.

The solution to this equation could not be determined.