T^2+4*T+3=0

Solution for T^2+4*T+3=0 equation:

Simplifying
T2 + 4T + 3 = 0

Reorder the terms:
3 + 4T + T2 = 0

Solving
3 + 4T + T2 = 0

Solving for variable 'T'.

Factor a trinomial.
(3 + T)(1 + T) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + T)' equal to zero and attempt to solve:

Simplifying
1 + T = 0

Solving
1 + T = 0

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

Add '-1' to each side of the equation.
1 + -1 + T = 0 + -1

Combine like terms: 1 + -1 = 0
0 + T = 0 + -1
T = 0 + -1

Combine like terms: 0 + -1 = -1
T = -1

Simplifying
T = -1
Solution
T = {-3, -1}