-5T^2-22T+15=0

Solution for -5T^2-22T+15=0 equation:

Simplifying
-5T2 + -22T + 15 = 0

Reorder the terms:
15 + -22T + -5T2 = 0

Solving
15 + -22T + -5T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(3 + -5T)(5 + T) = 0

Subproblem 1
Set the factor '(3 + -5T)' equal to zero and attempt to solve:

Simplifying
3 + -5T = 0

Solving
3 + -5T = 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 + -5T = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5T = 0 + -3
-5T = 0 + -3

Combine like terms: 0 + -3 = -3
-5T = -3

Divide each side by '-5'.
T = 0.6

Simplifying
T = 0.6
Subproblem 2
Set the factor '(5 + T)' equal to zero and attempt to solve:

Simplifying
5 + T = 0

Solving
5 + T = 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 + T = 0 + -5

Combine like terms: 5 + -5 = 0
0 + T = 0 + -5
T = 0 + -5

Combine like terms: 0 + -5 = -5
T = -5

Simplifying
T = -5
Solution
T = {0.6, -5}