2t^2+9t+12=0

Solution for 2t^2+9t+12=0 equation:

Simplifying
2t2 + 9t + 12 = 0

Reorder the terms:
12 + 9t + 2t2 = 0

Solving
12 + 9t + 2t2 = 0

Solving for variable 't'.

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

Divide each side by '2'.
6 + 4.5t + t2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.5t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + 4.5t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.5t + t2 = 0 + -6
4.5t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.5t + t2 = -6

The t term is 4.5t.  Take half its coefficient (2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
4.5t + 5.0625 + t2 = -6 + 5.0625

Reorder the terms:
5.0625 + 4.5t + t2 = -6 + 5.0625

Combine like terms: -6 + 5.0625 = -0.9375
5.0625 + 4.5t + t2 = -0.9375

Factor a perfect square on the left side:
(t + 2.25)(t + 2.25) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.