24t^2-2t-35=0

Solution for 24t^2-2t-35=0 equation:

Simplifying
24t2 + -2t + -35 = 0

Reorder the terms:
-35 + -2t + 24t2 = 0

Solving
-35 + -2t + 24t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-7 + -6t)(5 + -4t) = 0

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

Simplifying
-7 + -6t = 0

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

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

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

Divide each side by '-6'.
t = -1.166666667

Simplifying
t = -1.166666667
Subproblem 2
Set the factor '(5 + -4t)' equal to zero and attempt to solve:

Simplifying
5 + -4t = 0

Solving
5 + -4t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4t = 0 + -5
-4t = 0 + -5

Combine like terms: 0 + -5 = -5
-4t = -5

Divide each side by '-4'.
t = 1.25

Simplifying
t = 1.25
Solution
t = {-1.166666667, 1.25}