5t^2-5t+67=0

Solution for 5t^2-5t+67=0 equation:

Simplifying
5t2 + -5t + 67 = 0

Reorder the terms:
67 + -5t + 5t2 = 0

Solving
67 + -5t + 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'.
13.4 + -1t + t2 = 0

Move the constant term to the right:

Add '-13.4' to each side of the equation.
13.4 + -1t + -13.4 + t2 = 0 + -13.4

Reorder the terms:
13.4 + -13.4 + -1t + t2 = 0 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + -1t + t2 = 0 + -13.4
-1t + t2 = 0 + -13.4

Combine like terms: 0 + -13.4 = -13.4
-1t + t2 = -13.4

The t term is -1t.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1t + 0.25 + t2 = -13.4 + 0.25

Reorder the terms:
0.25 + -1t + t2 = -13.4 + 0.25

Combine like terms: -13.4 + 0.25 = -13.15
0.25 + -1t + t2 = -13.15

Factor a perfect square on the left side:
(t + -0.5)(t + -0.5) = -13.15

Can't calculate square root of the right side.

The solution to this equation could not be determined.