(7a+6)(8a+8)=

Solution for (7a+6)(8a+8)= equation:

Simplifying
(7a + 6)(8a + 8) = 0

Reorder the terms:
(6 + 7a)(8a + 8) = 0

Reorder the terms:
(6 + 7a)(8 + 8a) = 0

Multiply (6 + 7a) * (8 + 8a)
(6(8 + 8a) + 7a * (8 + 8a)) = 0
((8 * 6 + 8a * 6) + 7a * (8 + 8a)) = 0
((48 + 48a) + 7a * (8 + 8a)) = 0
(48 + 48a + (8 * 7a + 8a * 7a)) = 0
(48 + 48a + (56a + 56a2)) = 0

Combine like terms: 48a + 56a = 104a
(48 + 104a + 56a2) = 0

Solving
48 + 104a + 56a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8'.
8(6 + 13a + 7a2) = 0

Factor a trinomial.
8((1 + a)(6 + 7a)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(1 + a)' equal to zero and attempt to solve:

Simplifying
1 + a = 0

Solving
1 + a = 0

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

Add '-1' to each side of the equation.
1 + -1 + a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + a = 0 + -1
a = 0 + -1

Combine like terms: 0 + -1 = -1
a = -1

Simplifying
a = -1
Subproblem 2
Set the factor '(6 + 7a)' equal to zero and attempt to solve:

Simplifying
6 + 7a = 0

Solving
6 + 7a = 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 + 7a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7a = 0 + -6
7a = 0 + -6

Combine like terms: 0 + -6 = -6
7a = -6

Divide each side by '7'.
a = -0.8571428571

Simplifying
a = -0.8571428571
Solution
a = {-1, -0.8571428571}