(a+4)(a+6)=

Solution for (a+4)(a+6)= equation:

Simplifying
(a + 4)(a + 6) = 0

Reorder the terms:
(4 + a)(a + 6) = 0

Reorder the terms:
(4 + a)(6 + a) = 0

Multiply (4 + a) * (6 + a)
(4(6 + a) + a(6 + a)) = 0
((6 * 4 + a * 4) + a(6 + a)) = 0
((24 + 4a) + a(6 + a)) = 0
(24 + 4a + (6 * a + a * a)) = 0
(24 + 4a + (6a + a2)) = 0

Combine like terms: 4a + 6a = 10a
(24 + 10a + a2) = 0

Solving
24 + 10a + a2 = 0

Solving for variable 'a'.

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

Subproblem 1
Set the factor '(6 + a)' equal to zero and attempt to solve:

Simplifying
6 + a = 0

Solving
6 + a = 0

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

Add '-6' to each side of the equation.
6 + -6 + a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + a = 0 + -6
a = 0 + -6

Combine like terms: 0 + -6 = -6
a = -6

Simplifying
a = -6
Subproblem 2
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
Solution
a = {-6, -4}