100t^2+15t=0

Solution for 100t^2+15t=0 equation:

Simplifying
100t2 + 15t = 0

Reorder the terms:
15t + 100t2 = 0

Solving
15t + 100t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(3 + 20t) = 0

Ignore the factor 5.
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 '(3 + 20t)' equal to zero and attempt to solve:

Simplifying
3 + 20t = 0

Solving
3 + 20t = 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 + 20t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 20t = 0 + -3
20t = 0 + -3

Combine like terms: 0 + -3 = -3
20t = -3

Divide each side by '20'.
t = -0.15

Simplifying
t = -0.15
Solution
t = {0, -0.15}