4t(2u+4)-6u=-6

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

Simplifying
4t(2u + 4) + -6u = -6

Reorder the terms:
4t(4 + 2u) + -6u = -6
(4 * 4t + 2u * 4t) + -6u = -6
(16t + 8tu) + -6u = -6

Solving
16t + 8tu + -6u = -6

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '6u' to each side of the equation.
16t + 8tu + -6u + 6u = -6 + 6u

Combine like terms: -6u + 6u = 0
16t + 8tu + 0 = -6 + 6u
16t + 8tu = -6 + 6u

Reorder the terms:
6 + 16t + 8tu + -6u = -6 + 6u + 6 + -6u

Reorder the terms:
6 + 16t + 8tu + -6u = -6 + 6 + 6u + -6u

Combine like terms: -6 + 6 = 0
6 + 16t + 8tu + -6u = 0 + 6u + -6u
6 + 16t + 8tu + -6u = 6u + -6u

Combine like terms: 6u + -6u = 0
6 + 16t + 8tu + -6u = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 8t + 4tu + -3u) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 8t + 4tu + -3u)' equal to zero and attempt to solve:

Simplifying
3 + 8t + 4tu + -3u = 0

Solving
3 + 8t + 4tu + -3u = 0

Move all terms containing t to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + 8t + 4tu + -3 + -3u = 0 + -3

Reorder the terms:
3 + -3 + 8t + 4tu + -3u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 8t + 4tu + -3u = 0 + -3
8t + 4tu + -3u = 0 + -3

Combine like terms: 0 + -3 = -3
8t + 4tu + -3u = -3

Add '3u' to each side of the equation.
8t + 4tu + -3u + 3u = -3 + 3u

Combine like terms: -3u + 3u = 0
8t + 4tu + 0 = -3 + 3u
8t + 4tu = -3 + 3u

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.