9t+2t=5t^3

Solution for 9t+2t=5t^3 equation:

Simplifying
9t + 2t = 5t3

Combine like terms: 9t + 2t = 11t
11t = 5t3

Solving
11t = 5t3

Solving for variable 't'.

Combine like terms: 5t3 + -5t3 = 0
11t + -5t3 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(11 + -5t2) = 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 '(11 + -5t2)' equal to zero and attempt to solve:

Simplifying
11 + -5t2 = 0

Solving
11 + -5t2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -5t2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -5t2 = 0 + -11
-5t2 = 0 + -11

Combine like terms: 0 + -11 = -11
-5t2 = -11

Divide each side by '-5'.
t2 = 2.2

Simplifying
t2 = 2.2

Take the square root of each side:
t = {-1.483239697, 1.483239697}
Solution
t = {0, -1.483239697, 1.483239697}