t(5t-6)=0

Solution for t(5t-6)=0 equation:

Simplifying
t(5t + -6) = 0

Reorder the terms:
t(-6 + 5t) = 0
(-6 * t + 5t * t) = 0
(-6t + 5t2) = 0

Solving
-6t + 5t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(-6 + 5t) = 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 '(-6 + 5t)' equal to zero and attempt to solve:

Simplifying
-6 + 5t = 0

Solving
-6 + 5t = 0

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

Add '6' to each side of the equation.
-6 + 6 + 5t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 5t = 0 + 6
5t = 0 + 6

Combine like terms: 0 + 6 = 6
5t = 6

Divide each side by '5'.
t = 1.2

Simplifying
t = 1.2
Solution
t = {0, 1.2}