14t^2-33t+18=0

Solution for 14t^2-33t+18=0 equation:

Simplifying
14t2 + -33t + 18 = 0

Reorder the terms:
18 + -33t + 14t2 = 0

Solving
18 + -33t + 14t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + -7t)(3 + -2t) = 0

Subproblem 1
Set the factor '(6 + -7t)' equal to zero and attempt to solve:

Simplifying
6 + -7t = 0

Solving
6 + -7t = 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 + -7t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = 0 + -6
-7t = 0 + -6

Combine like terms: 0 + -6 = -6
-7t = -6

Divide each side by '-7'.
t = 0.8571428571

Simplifying
t = 0.8571428571
Subproblem 2
Set the factor '(3 + -2t)' equal to zero and attempt to solve:

Simplifying
3 + -2t = 0

Solving
3 + -2t = 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 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5
Solution
t = {0.8571428571, 1.5}