15t^2-30t+t=0

Solution for 15t^2-30t+t=0 equation:

Simplifying
15t2 + -30t + t = 0

Reorder the terms:
-30t + t + 15t2 = 0

Combine like terms: -30t + t = -29t
-29t + 15t2 = 0

Solving
-29t + 15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-29 + 15t) = 0

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 '(-29 + 15t)' equal to zero and attempt to solve:

Simplifying
-29 + 15t = 0

Solving
-29 + 15t = 0

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

Add '29' to each side of the equation.
-29 + 29 + 15t = 0 + 29

Combine like terms: -29 + 29 = 0
0 + 15t = 0 + 29
15t = 0 + 29

Combine like terms: 0 + 29 = 29
15t = 29

Divide each side by '15'.
t = 1.933333333

Simplifying
t = 1.933333333
Solution
t = {0, 1.933333333}