(t+7)(t+9)=

Solution for (t+7)(t+9)= equation:

Simplifying
(t + 7)(t + 9) = 0

Reorder the terms:
(7 + t)(t + 9) = 0

Reorder the terms:
(7 + t)(9 + t) = 0

Multiply (7 + t) * (9 + t)
(7(9 + t) + t(9 + t)) = 0
((9 * 7 + t * 7) + t(9 + t)) = 0
((63 + 7t) + t(9 + t)) = 0
(63 + 7t + (9 * t + t * t)) = 0
(63 + 7t + (9t + t2)) = 0

Combine like terms: 7t + 9t = 16t
(63 + 16t + t2) = 0

Solving
63 + 16t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(9 + t)(7 + 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 '(7 + t)' equal to zero and attempt to solve:

Simplifying
7 + t = 0

Solving
7 + t = 0

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

Add '-7' to each side of the equation.
7 + -7 + t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + t = 0 + -7
t = 0 + -7

Combine like terms: 0 + -7 = -7
t = -7

Simplifying
t = -7
Solution
t = {-9, -7}