S(t)=(0.15)t^3+t

Solution for S(t)=(0.15)t^3+t equation:

Simplifying
S(t) = (0.15) * t3 + t

Multiply S * t
tS = (0.15) * t3 + t

Reorder the terms:
tS = t + 0.15t3

Solving
tS = t + 0.15t3

Solving for variable 't'.

Reorder the terms:
-1t + tS + -0.15t3 = t + 0.15t3 + -1t + -0.15t3

Reorder the terms:
-1t + tS + -0.15t3 = t + -1t + 0.15t3 + -0.15t3

Combine like terms: t + -1t = 0
-1t + tS + -0.15t3 = 0 + 0.15t3 + -0.15t3
-1t + tS + -0.15t3 = 0.15t3 + -0.15t3

Combine like terms: 0.15t3 + -0.15t3 = 0.00
-1t + tS + -0.15t3 = 0.00

Factor out the Greatest Common Factor (GCF), 't'.
t(-1 + S + -0.15t2) = 0.00

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 '(-1 + S + -0.15t2)' equal to zero and attempt to solve:

Simplifying
-1 + S + -0.15t2 = 0

Solving
-1 + S + -0.15t2 = 0

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

Add '1' to each side of the equation.
-1 + S + 1 + -0.15t2 = 0 + 1

Reorder the terms:
-1 + 1 + S + -0.15t2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + S + -0.15t2 = 0 + 1
S + -0.15t2 = 0 + 1

Combine like terms: 0 + 1 = 1
S + -0.15t2 = 1

Add '-1S' to each side of the equation.
S + -1S + -0.15t2 = 1 + -1S

Combine like terms: S + -1S = 0
0 + -0.15t2 = 1 + -1S
-0.15t2 = 1 + -1S

Divide each side by '-0.15'.
t2 = -6.666666667 + 6.666666667S

Simplifying
t2 = -6.666666667 + 6.666666667S

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
t = {0}