5t^3+5t^2=

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

Simplifying
5t3 + 5t2 = 0

Reorder the terms:
5t2 + 5t3 = 0

Solving
5t2 + 5t3 = 0

Solving for variable 't'.

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

Ignore the factor 5.
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 '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 0

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

Add '-1' to each side of the equation.
1 + -1 + t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + t = 0 + -1
t = 0 + -1

Combine like terms: 0 + -1 = -1
t = -1

Simplifying
t = -1
Solution
t = {0, -1}