40t^2-83t+42=0

Solution for 40t^2-83t+42=0 equation:

Simplifying
40t2 + -83t + 42 = 0

Reorder the terms:
42 + -83t + 40t2 = 0

Solving
42 + -83t + 40t2 = 0

Solving for variable 't'.

Factor a trinomial.
(7 + -8t)(6 + -5t) = 0

Subproblem 1
Set the factor '(7 + -8t)' equal to zero and attempt to solve:

Simplifying
7 + -8t = 0

Solving
7 + -8t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8t = 0 + -7
-8t = 0 + -7

Combine like terms: 0 + -7 = -7
-8t = -7

Divide each side by '-8'.
t = 0.875

Simplifying
t = 0.875
Subproblem 2
Set the factor '(6 + -5t)' equal to zero and attempt to solve:

Simplifying
6 + -5t = 0

Solving
6 + -5t = 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 + -5t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = 0 + -6
-5t = 0 + -6

Combine like terms: 0 + -6 = -6
-5t = -6

Divide each side by '-5'.
t = 1.2

Simplifying
t = 1.2
Solution
t = {0.875, 1.2}