24t^2-18t-4t+3=

Solution for 24t^2-18t-4t+3= equation:

Simplifying
24t2 + -18t + -4t + 3 = 0

Reorder the terms:
3 + -18t + -4t + 24t2 = 0

Combine like terms: -18t + -4t = -22t
3 + -22t + 24t2 = 0

Solving
3 + -22t + 24t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -6t)(3 + -4t) = 0

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

Simplifying
1 + -6t = 0

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

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

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

Divide each side by '-6'.
t = 0.1666666667

Simplifying
t = 0.1666666667
Subproblem 2
Set the factor '(3 + -4t)' equal to zero and attempt to solve:

Simplifying
3 + -4t = 0

Solving
3 + -4t = 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 + -4t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = 0 + -3
-4t = 0 + -3

Combine like terms: 0 + -3 = -3
-4t = -3

Divide each side by '-4'.
t = 0.75

Simplifying
t = 0.75
Solution
t = {0.1666666667, 0.75}