-5t(3t-4t)+8t=4t-8

Solution for -5t(3t-4t)+8t=4t-8 equation:

Simplifying
-5t(3t + -4t) + 8t = 4t + -8

Combine like terms: 3t + -4t = -1t
-5t(-1t) + 8t = 4t + -8

Remove parenthesis around (-1t)
-5t * -1t + 8t = 4t + -8

Reorder the terms for easier multiplication:
-5 * -1t * t + 8t = 4t + -8

Multiply -5 * -1
5t * t + 8t = 4t + -8

Multiply t * t
5t2 + 8t = 4t + -8

Reorder the terms:
8t + 5t2 = 4t + -8

Reorder the terms:
8t + 5t2 = -8 + 4t

Solving
8t + 5t2 = -8 + 4t

Solving for variable 't'.

Reorder the terms:
8 + 8t + -4t + 5t2 = -8 + 4t + 8 + -4t

Combine like terms: 8t + -4t = 4t
8 + 4t + 5t2 = -8 + 4t + 8 + -4t

Reorder the terms:
8 + 4t + 5t2 = -8 + 8 + 4t + -4t

Combine like terms: -8 + 8 = 0
8 + 4t + 5t2 = 0 + 4t + -4t
8 + 4t + 5t2 = 4t + -4t

Combine like terms: 4t + -4t = 0
8 + 4t + 5t2 = 0

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

Divide each side by '5'.
1.6 + 0.8t + t2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 0.8t + -1.6 + t2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 0.8t + t2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.8t + t2 = 0 + -1.6
0.8t + t2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.8t + t2 = -1.6

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 = -1.6 + 0.16

Reorder the terms:
0.16 + 0.8t + t2 = -1.6 + 0.16

Combine like terms: -1.6 + 0.16 = -1.44
0.16 + 0.8t + t2 = -1.44

Factor a perfect square on the left side:
(t + 0.4)(t + 0.4) = -1.44

Can't calculate square root of the right side.

The solution to this equation could not be determined.