35t^2+13t-12=0

Solution for 35t^2+13t-12=0 equation:

Simplifying
35t2 + 13t + -12 = 0

Reorder the terms:
-12 + 13t + 35t2 = 0

Solving
-12 + 13t + 35t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -5t)(3 + -7t) = 0

Subproblem 1
Set the factor '(-4 + -5t)' equal to zero and attempt to solve:

Simplifying
-4 + -5t = 0

Solving
-4 + -5t = 0

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

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

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

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

Divide each side by '-5'.
t = -0.8

Simplifying
t = -0.8
Subproblem 2
Set the factor '(3 + -7t)' equal to zero and attempt to solve:

Simplifying
3 + -7t = 0

Solving
3 + -7t = 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 + -7t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -7t = 0 + -3
-7t = 0 + -3

Combine like terms: 0 + -3 = -3
-7t = -3

Divide each side by '-7'.
t = 0.4285714286

Simplifying
t = 0.4285714286
Solution
t = {-0.8, 0.4285714286}