(t+9)(t+49)=0

Solution for (t+9)(t+49)=0 equation:

Simplifying
(t + 9)(t + 49) = 0

Reorder the terms:
(9 + t)(t + 49) = 0

Reorder the terms:
(9 + t)(49 + t) = 0

Multiply (9 + t) * (49 + t)
(9(49 + t) + t(49 + t)) = 0
((49 * 9 + t * 9) + t(49 + t)) = 0
((441 + 9t) + t(49 + t)) = 0
(441 + 9t + (49 * t + t * t)) = 0
(441 + 9t + (49t + t2)) = 0

Combine like terms: 9t + 49t = 58t
(441 + 58t + t2) = 0

Solving
441 + 58t + t2 = 0

Solving for variable 't'.

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

Subproblem 1
Set the factor '(49 + t)' equal to zero and attempt to solve:

Simplifying
49 + t = 0

Solving
49 + t = 0

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

Add '-49' to each side of the equation.
49 + -49 + t = 0 + -49

Combine like terms: 49 + -49 = 0
0 + t = 0 + -49
t = 0 + -49

Combine like terms: 0 + -49 = -49
t = -49

Simplifying
t = -49
Subproblem 2
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
Solution
t = {-49, -9}