16t-4t^5=0

Solution for 16t-4t^5=0 equation:

Simplifying
16t + -4t5 = 0

Solving
16t + -4t5 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '4t'.
4t(4 + -1t4) = 0

Factor a difference between two squares.
4t((2 + t2)(2 + -1t2)) = 0

Ignore the factor 4.
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 '(2 + t2)' equal to zero and attempt to solve:

Simplifying
2 + t2 = 0

Solving
2 + t2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + t2 = 0 + -2
t2 = 0 + -2

Combine like terms: 0 + -2 = -2
t2 = -2

Simplifying
t2 = -2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(2 + -1t2)' equal to zero and attempt to solve:

Simplifying
2 + -1t2 = 0

Solving
2 + -1t2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t2 = 0 + -2
-1t2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1t2 = -2

Divide each side by '-1'.
t2 = 2

Simplifying
t2 = 2

Take the square root of each side:
t = {-1.414213562, 1.414213562}
Solution
t = {0, -1.414213562, 1.414213562}