-5T^2-11T+12=0

Solution for -5T^2-11T+12=0 equation:

Simplifying
-5T2 + -11T + 12 = 0

Reorder the terms:
12 + -11T + -5T2 = 0

Solving
12 + -11T + -5T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(4 + -5T)(3 + T) = 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 + T)' equal to zero and attempt to solve:

Simplifying
3 + T = 0

Solving
3 + T = 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 + T = 0 + -3

Combine like terms: 3 + -3 = 0
0 + T = 0 + -3
T = 0 + -3

Combine like terms: 0 + -3 = -3
T = -3

Simplifying
T = -3
Solution
T = {0.8, -3}