5t(3-6t)=

Solution for 5t(3-6t)= equation:

Simplifying
5t(3 + -6t) = 0
(3 * 5t + -6t * 5t) = 0
(15t + -30t2) = 0

Solving
15t + -30t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '15t'.
15t(1 + -2t) = 0

Ignore the factor 15.
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 '(1 + -2t)' equal to zero and attempt to solve:

Simplifying
1 + -2t = 0

Solving
1 + -2t = 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 + -2t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = 0 + -1
-2t = 0 + -1

Combine like terms: 0 + -1 = -1
-2t = -1

Divide each side by '-2'.
t = 0.5

Simplifying
t = 0.5
Solution
t = {0, 0.5}