9t^3+t+4(t-7t^3)=

Solution for 9t^3+t+4(t-7t^3)= equation:

Simplifying
9t3 + t + 4(t + -7t3) = 0
9t3 + t + (t * 4 + -7t3 * 4) = 0
9t3 + t + (4t + -28t3) = 0

Reorder the terms:
t + 4t + 9t3 + -28t3 = 0

Combine like terms: t + 4t = 5t
5t + 9t3 + -28t3 = 0

Combine like terms: 9t3 + -28t3 = -19t3
5t + -19t3 = 0

Solving
5t + -19t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + -19t2) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(5 + -19t2)' equal to zero and attempt to solve:

Simplifying
5 + -19t2 = 0

Solving
5 + -19t2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -19t2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -19t2 = 0 + -5
-19t2 = 0 + -5

Combine like terms: 0 + -5 = -5
-19t2 = -5

Divide each side by '-19'.
t2 = 0.2631578947

Simplifying
t2 = 0.2631578947

Take the square root of each side:
t = {-0.512989176, 0.512989176}
Solution
t = {0, -0.512989176, 0.512989176}