(2a+4)(5a+6)=

Solution for (2a+4)(5a+6)= equation:

Simplifying
(2a + 4)(5a + 6) = 0

Reorder the terms:
(4 + 2a)(5a + 6) = 0

Reorder the terms:
(4 + 2a)(6 + 5a) = 0

Multiply (4 + 2a) * (6 + 5a)
(4(6 + 5a) + 2a * (6 + 5a)) = 0
((6 * 4 + 5a * 4) + 2a * (6 + 5a)) = 0
((24 + 20a) + 2a * (6 + 5a)) = 0
(24 + 20a + (6 * 2a + 5a * 2a)) = 0
(24 + 20a + (12a + 10a2)) = 0

Combine like terms: 20a + 12a = 32a
(24 + 32a + 10a2) = 0

Solving
24 + 32a + 10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + 16a + 5a2) = 0

Factor a trinomial.
2((2 + a)(6 + 5a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + a)' equal to zero and attempt to solve:

Simplifying
2 + a = 0

Solving
2 + a = 0

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

Add '-2' to each side of the equation.
2 + -2 + a = 0 + -2

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

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

Simplifying
a = -2
Subproblem 2
Set the factor '(6 + 5a)' equal to zero and attempt to solve:

Simplifying
6 + 5a = 0

Solving
6 + 5a = 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 + 5a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5a = 0 + -6
5a = 0 + -6

Combine like terms: 0 + -6 = -6
5a = -6

Divide each side by '5'.
a = -1.2

Simplifying
a = -1.2
Solution
a = {-2, -1.2}