t^2+2t+1=9

Solution for t^2+2t+1=9 equation:

Simplifying
t2 + 2t + 1 = 9

Reorder the terms:
1 + 2t + t2 = 9

Solving
1 + 2t + t2 = 9

Solving for variable 't'.

Reorder the terms:
1 + -9 + 2t + t2 = 9 + -9

Combine like terms: 1 + -9 = -8
-8 + 2t + t2 = 9 + -9

Combine like terms: 9 + -9 = 0
-8 + 2t + t2 = 0

Factor a trinomial.
(-4 + -1t)(2 + -1t) = 0

Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve:

Simplifying
-4 + -1t = 0

Solving
-4 + -1t = 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 + -1t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {-4, 2}