t^2+6t+11=2

Solution for t^2+6t+11=2 equation:

Simplifying
t2 + 6t + 11 = 2

Reorder the terms:
11 + 6t + t2 = 2

Solving
11 + 6t + t2 = 2

Solving for variable 't'.

Reorder the terms:
11 + -2 + 6t + t2 = 2 + -2

Combine like terms: 11 + -2 = 9
9 + 6t + t2 = 2 + -2

Combine like terms: 2 + -2 = 0
9 + 6t + t2 = 0

Factor a trinomial.
(3 + t)(3 + 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 '(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 = {-3, -3}