-t^2-3t-6=0

Solution for -t^2-3t-6=0 equation:

Simplifying
-1t2 + -3t + -6 = 0

Reorder the terms:
-6 + -3t + -1t2 = 0

Solving
-6 + -3t + -1t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 3t + t2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + 3t + t2)' equal to zero and attempt to solve:

Simplifying
6 + 3t + t2 = 0

Solving
6 + 3t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3t + -6 + t2 = 0 + -6

Reorder the terms:
6 + -6 + 3t + t2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3t + t2 = 0 + -6
3t + t2 = 0 + -6

Combine like terms: 0 + -6 = -6
3t + t2 = -6

The t term is 3t.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3t + 2.25 + t2 = -6 + 2.25

Reorder the terms:
2.25 + 3t + t2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3t + t2 = -3.75

Factor a perfect square on the left side:
(t + 1.5)(t + 1.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.