(-t^2-6t-3)+(-4t^2+2t)=

Solution for (-t^2-6t-3)+(-4t^2+2t)= equation:

Simplifying
(-1t2 + -6t + -3) + (-4t2 + 2t) = 0

Reorder the terms:
(-3 + -6t + -1t2) + (-4t2 + 2t) = 0

Remove parenthesis around (-3 + -6t + -1t2)
-3 + -6t + -1t2 + (-4t2 + 2t) = 0

Reorder the terms:
-3 + -6t + -1t2 + (2t + -4t2) = 0

Remove parenthesis around (2t + -4t2)
-3 + -6t + -1t2 + 2t + -4t2 = 0

Reorder the terms:
-3 + -6t + 2t + -1t2 + -4t2 = 0

Combine like terms: -6t + 2t = -4t
-3 + -4t + -1t2 + -4t2 = 0

Combine like terms: -1t2 + -4t2 = -5t2
-3 + -4t + -5t2 = 0

Solving
-3 + -4t + -5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + 4t + 5t2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + 4t + 5t2)' equal to zero and attempt to solve:

Simplifying
3 + 4t + 5t2 = 0

Solving
3 + 4t + 5t2 = 0

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

Divide each side by '5'.
0.6 + 0.8t + t2 = 0

Move the constant term to the right:

Add '-0.6' to each side of the equation.
0.6 + 0.8t + -0.6 + t2 = 0 + -0.6

Reorder the terms:
0.6 + -0.6 + 0.8t + t2 = 0 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.8t + t2 = 0 + -0.6
0.8t + t2 = 0 + -0.6

Combine like terms: 0 + -0.6 = -0.6
0.8t + t2 = -0.6

The t term is 0.8t.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8t + 0.16 + t2 = -0.6 + 0.16

Reorder the terms:
0.16 + 0.8t + t2 = -0.6 + 0.16

Combine like terms: -0.6 + 0.16 = -0.44
0.16 + 0.8t + t2 = -0.44

Factor a perfect square on the left side:
(t + 0.4)(t + 0.4) = -0.44

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.