0=t^2(5t^2+3)

Solution for 0=t^2(5t^2+3) equation:

Simplifying
0 = t2(5t2 + 3)

Reorder the terms:
0 = t2(3 + 5t2)
0 = (3 * t2 + 5t2 * t2)
0 = (3t2 + 5t4)

Solving
0 = 3t2 + 5t4

Solving for variable 't'.
Remove the zero:
-3t2 + -5t4 = 3t2 + 5t4 + -3t2 + -5t4

Reorder the terms:
-3t2 + -5t4 = 3t2 + -3t2 + 5t4 + -5t4

Combine like terms: 3t2 + -3t2 = 0
-3t2 + -5t4 = 0 + 5t4 + -5t4
-3t2 + -5t4 = 5t4 + -5t4

Combine like terms: 5t4 + -5t4 = 0
-3t2 + -5t4 = 0

Factor out the Greatest Common Factor (GCF), '-1t2'.
-1t2(3 + 5t2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 't2' equal to zero and attempt to solve:

Simplifying
t2 = 0

Solving
t2 = 0

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

Simplifying
t2 = 0

Take the square root of each side:
t = {0}
Subproblem 2
Set the factor '(3 + 5t2)' equal to zero and attempt to solve:

Simplifying
3 + 5t2 = 0

Solving
3 + 5t2 = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5t2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5t2 = 0 + -3
5t2 = 0 + -3

Combine like terms: 0 + -3 = -3
5t2 = -3

Divide each side by '5'.
t2 = -0.6

Simplifying
t2 = -0.6

The solution to this equation could not be determined.

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