0=20t^2-23t+6

Solution for 0=20t^2-23t+6 equation:

Simplifying
0 = 20t2 + -23t + 6

Reorder the terms:
0 = 6 + -23t + 20t2

Solving
0 = 6 + -23t + 20t2

Solving for variable 't'.

Combine like terms: 0 + -6 = -6
-6 + 23t + -20t2 = 6 + -23t + 20t2 + -6 + 23t + -20t2

Reorder the terms:
-6 + 23t + -20t2 = 6 + -6 + -23t + 23t + 20t2 + -20t2

Combine like terms: 6 + -6 = 0
-6 + 23t + -20t2 = 0 + -23t + 23t + 20t2 + -20t2
-6 + 23t + -20t2 = -23t + 23t + 20t2 + -20t2

Combine like terms: -23t + 23t = 0
-6 + 23t + -20t2 = 0 + 20t2 + -20t2
-6 + 23t + -20t2 = 20t2 + -20t2

Combine like terms: 20t2 + -20t2 = 0
-6 + 23t + -20t2 = 0

Factor a trinomial.
(-3 + 4t)(2 + -5t) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -5t)' equal to zero and attempt to solve:

Simplifying
2 + -5t = 0

Solving
2 + -5t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5t = 0 + -2
-5t = 0 + -2

Combine like terms: 0 + -2 = -2
-5t = -2

Divide each side by '-5'.
t = 0.4

Simplifying
t = 0.4
Solution
t = {0.75, 0.4}