4t^2+11t+12=0

Solution for 4t^2+11t+12=0 equation:

Simplifying
4t2 + 11t + 12 = 0

Reorder the terms:
12 + 11t + 4t2 = 0

Solving
12 + 11t + 4t2 = 0

Solving for variable 't'.

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

Divide each side by '4'.
3 + 2.75t + t2 = 0

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.75t + -3 + t2 = 0 + -3

Reorder the terms:
3 + -3 + 2.75t + t2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.75t + t2 = 0 + -3
2.75t + t2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.75t + t2 = -3

The t term is 2.75t.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75t + 1.890625 + t2 = -3 + 1.890625

Reorder the terms:
1.890625 + 2.75t + t2 = -3 + 1.890625

Combine like terms: -3 + 1.890625 = -1.109375
1.890625 + 2.75t + t2 = -1.109375

Factor a perfect square on the left side:
(t + 1.375)(t + 1.375) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.