(9t-3)(t-3)=0

Solution for (9t-3)(t-3)=0 equation:

Simplifying
(9t + -3)(t + -3) = 0

Reorder the terms:
(-3 + 9t)(t + -3) = 0

Reorder the terms:
(-3 + 9t)(-3 + t) = 0

Multiply (-3 + 9t) * (-3 + t)
(-3(-3 + t) + 9t * (-3 + t)) = 0
((-3 * -3 + t * -3) + 9t * (-3 + t)) = 0
((9 + -3t) + 9t * (-3 + t)) = 0
(9 + -3t + (-3 * 9t + t * 9t)) = 0
(9 + -3t + (-27t + 9t2)) = 0

Combine like terms: -3t + -27t = -30t
(9 + -30t + 9t2) = 0

Solving
9 + -30t + 9t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + -10t + 3t2) = 0

Factor a trinomial.
3((1 + -3t)(3 + -1t)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(1 + -3t)' equal to zero and attempt to solve:

Simplifying
1 + -3t = 0

Solving
1 + -3t = 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 + -3t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3t = 0 + -1
-3t = 0 + -1

Combine like terms: 0 + -1 = -1
-3t = -1

Divide each side by '-3'.
t = 0.3333333333

Simplifying
t = 0.3333333333
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 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 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {0.3333333333, 3}