5t^2+6t+11=0

Solution for 5t^2+6t+11=0 equation:

Simplifying
5t2 + 6t + 11 = 0

Reorder the terms:
11 + 6t + 5t2 = 0

Solving
11 + 6t + 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'.
2.2 + 1.2t + t2 = 0

Move the constant term to the right:

Add '-2.2' to each side of the equation.
2.2 + 1.2t + -2.2 + t2 = 0 + -2.2

Reorder the terms:
2.2 + -2.2 + 1.2t + t2 = 0 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + 1.2t + t2 = 0 + -2.2
1.2t + t2 = 0 + -2.2

Combine like terms: 0 + -2.2 = -2.2
1.2t + t2 = -2.2

The t term is 1.2t.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2t + 0.36 + t2 = -2.2 + 0.36

Reorder the terms:
0.36 + 1.2t + t2 = -2.2 + 0.36

Combine like terms: -2.2 + 0.36 = -1.84
0.36 + 1.2t + t2 = -1.84

Factor a perfect square on the left side:
(t + 0.6)(t + 0.6) = -1.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.