3t^2-5t+18=0

Solution for 3t^2-5t+18=0 equation:

Simplifying
3t2 + -5t + 18 = 0

Reorder the terms:
18 + -5t + 3t2 = 0

Solving
18 + -5t + 3t2 = 0

Solving for variable 't'.

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

Divide each side by '3'.
6 + -1.666666667t + t2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -1.666666667t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + -1.666666667t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1.666666667t + t2 = 0 + -6
-1.666666667t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
-1.666666667t + t2 = -6

The t term is -1.666666667t.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667t + 0.6944444447 + t2 = -6 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667t + t2 = -6 + 0.6944444447

Combine like terms: -6 + 0.6944444447 = -5.3055555553
0.6944444447 + -1.666666667t + t2 = -5.3055555553

Factor a perfect square on the left side:
(t + -0.8333333335)(t + -0.8333333335) = -5.3055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.