(6-t-t^4)+(9t+t^4)=0

Solution for (6-t-t^4)+(9t+t^4)=0 equation:

Simplifying
(6 + -1t + -1t4) + (9t + t4) = 0

Remove parenthesis around (6 + -1t + -1t4)
6 + -1t + -1t4 + (9t + t4) = 0

Remove parenthesis around (9t + t4)
6 + -1t + -1t4 + 9t + t4 = 0

Reorder the terms:
6 + -1t + 9t + -1t4 + t4 = 0

Combine like terms: -1t + 9t = 8t
6 + 8t + -1t4 + t4 = 0

Combine like terms: -1t4 + t4 = 0
6 + 8t + 0 = 0
6 + 8t = 0

Solving
6 + 8t = 0

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 8t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8t = 0 + -6
8t = 0 + -6

Combine like terms: 0 + -6 = -6
8t = -6

Divide each side by '8'.
t = -0.75

Simplifying
t = -0.75