(a+3)(a+4)=

Solution for (a+3)(a+4)= equation:

Simplifying
(a + 3)(a + 4) = 0

Reorder the terms:
(3 + a)(a + 4) = 0

Reorder the terms:
(3 + a)(4 + a) = 0

Multiply (3 + a) * (4 + a)
(3(4 + a) + a(4 + a)) = 0
((4 * 3 + a * 3) + a(4 + a)) = 0
((12 + 3a) + a(4 + a)) = 0
(12 + 3a + (4 * a + a * a)) = 0
(12 + 3a + (4a + a2)) = 0

Combine like terms: 3a + 4a = 7a
(12 + 7a + a2) = 0

Solving
12 + 7a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + a)(3 + a) = 0

Subproblem 1
Set the factor '(4 + a)' equal to zero and attempt to solve:

Simplifying
4 + a = 0

Solving
4 + a = 0

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

Add '-4' to each side of the equation.
4 + -4 + a = 0 + -4

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

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

Simplifying
a = -4
Subproblem 2
Set the factor '(3 + a)' equal to zero and attempt to solve:

Simplifying
3 + a = 0

Solving
3 + a = 0

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

Add '-3' to each side of the equation.
3 + -3 + a = 0 + -3

Combine like terms: 3 + -3 = 0
0 + a = 0 + -3
a = 0 + -3

Combine like terms: 0 + -3 = -3
a = -3

Simplifying
a = -3
Solution
a = {-4, -3}