35t^2-12t-36=

Solution for 35t^2-12t-36= equation:

Simplifying
35t2 + -12t + -36 = 0

Reorder the terms:
-36 + -12t + 35t2 = 0

Solving
-36 + -12t + 35t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -7t)(6 + -5t) = 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 '(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 = {-0.8571428571, 1.2}