(t-6)(9t-4)=0

Solution for (t-6)(9t-4)=0 equation:

Simplifying
(t + -6)(9t + -4) = 0

Reorder the terms:
(-6 + t)(9t + -4) = 0

Reorder the terms:
(-6 + t)(-4 + 9t) = 0

Multiply (-6 + t) * (-4 + 9t)
(-6(-4 + 9t) + t(-4 + 9t)) = 0
((-4 * -6 + 9t * -6) + t(-4 + 9t)) = 0
((24 + -54t) + t(-4 + 9t)) = 0
(24 + -54t + (-4 * t + 9t * t)) = 0
(24 + -54t + (-4t + 9t2)) = 0

Combine like terms: -54t + -4t = -58t
(24 + -58t + 9t2) = 0

Solving
24 + -58t + 9t2 = 0

Solving for variable 't'.

Factor a trinomial.
(4 + -9t)(6 + -1t) = 0

Subproblem 1
Set the factor '(4 + -9t)' equal to zero and attempt to solve:

Simplifying
4 + -9t = 0

Solving
4 + -9t = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9t = 0 + -4
-9t = 0 + -4

Combine like terms: 0 + -4 = -4
-9t = -4

Divide each side by '-9'.
t = 0.4444444444

Simplifying
t = 0.4444444444
Subproblem 2
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 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 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Solution
t = {0.4444444444, 6}