(9t+11)(t+9)=79

Solution for (9t+11)(t+9)=79 equation:

Simplifying
(9t + 11)(t + 9) = 79

Reorder the terms:
(11 + 9t)(t + 9) = 79

Reorder the terms:
(11 + 9t)(9 + t) = 79

Multiply (11 + 9t) * (9 + t)
(11(9 + t) + 9t * (9 + t)) = 79
((9 * 11 + t * 11) + 9t * (9 + t)) = 79
((99 + 11t) + 9t * (9 + t)) = 79
(99 + 11t + (9 * 9t + t * 9t)) = 79
(99 + 11t + (81t + 9t2)) = 79

Combine like terms: 11t + 81t = 92t
(99 + 92t + 9t2) = 79

Solving
99 + 92t + 9t2 = 79

Solving for variable 't'.

Reorder the terms:
99 + -79 + 92t + 9t2 = 79 + -79

Combine like terms: 99 + -79 = 20
20 + 92t + 9t2 = 79 + -79

Combine like terms: 79 + -79 = 0
20 + 92t + 9t2 = 0

Factor a trinomial.
(10 + t)(2 + 9t) = 0

Subproblem 1
Set the factor '(10 + t)' equal to zero and attempt to solve:

Simplifying
10 + t = 0

Solving
10 + t = 0

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

Add '-10' to each side of the equation.
10 + -10 + t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + t = 0 + -10
t = 0 + -10

Combine like terms: 0 + -10 = -10
t = -10

Simplifying
t = -10
Subproblem 2
Set the factor '(2 + 9t)' equal to zero and attempt to solve:

Simplifying
2 + 9t = 0

Solving
2 + 9t = 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 + 9t = 0 + -2

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

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

Divide each side by '9'.
t = -0.2222222222

Simplifying
t = -0.2222222222
Solution
t = {-10, -0.2222222222}