-t^2-(3t+2)t=5

Solution for -t^2-(3t+2)t=5 equation:

Simplifying
-1t2 + -1(3t + 2) * t = 5

Reorder the terms:
-1t2 + -1(2 + 3t) * t = 5

Reorder the terms for easier multiplication:
-1t2 + -1t(2 + 3t) = 5
-1t2 + (2 * -1t + 3t * -1t) = 5
-1t2 + (-2t + -3t2) = 5

Reorder the terms:
-2t + -1t2 + -3t2 = 5

Combine like terms: -1t2 + -3t2 = -4t2
-2t + -4t2 = 5

Solving
-2t + -4t2 = 5

Solving for variable 't'.

Reorder the terms:
-5 + -2t + -4t2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -2t + -4t2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 2t + 4t2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(5 + 2t + 4t2)' equal to zero and attempt to solve:

Simplifying
5 + 2t + 4t2 = 0

Solving
5 + 2t + 4t2 = 0

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

Divide each side by '4'.
1.25 + 0.5t + t2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.5t + -1.25 + t2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.5t + t2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.5t + t2 = 0 + -1.25
0.5t + t2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.5t + t2 = -1.25

The t term is 0.5t.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5t + 0.0625 + t2 = -1.25 + 0.0625

Reorder the terms:
0.0625 + 0.5t + t2 = -1.25 + 0.0625

Combine like terms: -1.25 + 0.0625 = -1.1875
0.0625 + 0.5t + t2 = -1.1875

Factor a perfect square on the left side:
(t + 0.25)(t + 0.25) = -1.1875

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.