t^2+10t+9=0

Solution for t^2+10t+9=0 equation:

Simplifying
t2 + 10t + 9 = 0

Reorder the terms:
9 + 10t + t2 = 0

Solving
9 + 10t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(9 + t)(1 + t) = 0

Subproblem 1
Set the factor '(9 + t)' equal to zero and attempt to solve:

Simplifying
9 + t = 0

Solving
9 + t = 0

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

Add '-9' to each side of the equation.
9 + -9 + t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + t = 0 + -9
t = 0 + -9

Combine like terms: 0 + -9 = -9
t = -9

Simplifying
t = -9
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 = {-9, -1}