-t(5t^2+7)=0

Solution for -t(5t^2+7)=0 equation:

Simplifying
-1t(5t2 + 7) = 0

Reorder the terms:
-1t(7 + 5t2) = 0
(7 * -1t + 5t2 * -1t) = 0
(-7t + -5t3) = 0

Solving
-7t + -5t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '-1t'.
-1t(7 + 5t2) = 0

Ignore the factor -1.
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 '(7 + 5t2)' equal to zero and attempt to solve:

Simplifying
7 + 5t2 = 0

Solving
7 + 5t2 = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5t2 = 0 + -7
5t2 = 0 + -7

Combine like terms: 0 + -7 = -7
5t2 = -7

Divide each side by '5'.
t2 = -1.4

Simplifying
t2 = -1.4

The solution to this equation could not be determined.

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