(t+2)(t+4)=0

Solution for (t+2)(t+4)=0 equation:

Simplifying
(t + 2)(t + 4) = 0

Reorder the terms:
(2 + t)(t + 4) = 0

Reorder the terms:
(2 + t)(4 + t) = 0

Multiply (2 + t) * (4 + t)
(2(4 + t) + t(4 + t)) = 0
((4 * 2 + t * 2) + t(4 + t)) = 0
((8 + 2t) + t(4 + t)) = 0
(8 + 2t + (4 * t + t * t)) = 0
(8 + 2t + (4t + t2)) = 0

Combine like terms: 2t + 4t = 6t
(8 + 6t + t2) = 0

Solving
8 + 6t + t2 = 0

Solving for variable 't'.

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

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

Simplifying
4 + t = 0

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

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

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

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

Simplifying
2 + t = 0

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

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

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

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