20t^2+t-12=

Solution for 20t^2+t-12= equation:

Simplifying
20t2 + t + -12 = 0

Reorder the terms:
-12 + t + 20t2 = 0

Solving
-12 + t + 20t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -5t)(3 + -4t) = 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 + -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
Solution
t = {-0.8, 0.75}