-2t[8-(6-t)]+5t=1

Solution for -2t[8-(6-t)]+5t=1 equation:

Simplifying
-2t[8 + -1(6 + -1t)] + 5t = 1
-2t[8 + (6 * -1 + -1t * -1)] + 5t = 1
-2t[8 + (-6 + 1t)] + 5t = 1

Combine like terms: 8 + -6 = 2
-2t[2 + 1t] + 5t = 1
[2 * -2t + 1t * -2t] + 5t = 1
[-4t + -2t2] + 5t = 1

Reorder the terms:
-4t + 5t + -2t2 = 1

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

Solving
1t + -2t2 = 1

Solving for variable 't'.

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

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

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

Divide each side by '-2'.
0.5 + -0.5t + t2 = 0

Move the constant term to the right:

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

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

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5t + t2 = 0 + -0.5
-0.5t + t2 = 0 + -0.5

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

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 = -0.5 + 0.0625

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

Combine like terms: -0.5 + 0.0625 = -0.4375
0.0625 + -0.5t + t2 = -0.4375

Factor a perfect square on the left side:
(t + -0.25)(t + -0.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.