(6a+6)(7a+9)=

Solution for (6a+6)(7a+9)= equation:

Simplifying
(6a + 6)(7a + 9) = 0

Reorder the terms:
(6 + 6a)(7a + 9) = 0

Reorder the terms:
(6 + 6a)(9 + 7a) = 0

Multiply (6 + 6a) * (9 + 7a)
(6(9 + 7a) + 6a * (9 + 7a)) = 0
((9 * 6 + 7a * 6) + 6a * (9 + 7a)) = 0
((54 + 42a) + 6a * (9 + 7a)) = 0
(54 + 42a + (9 * 6a + 7a * 6a)) = 0
(54 + 42a + (54a + 42a2)) = 0

Combine like terms: 42a + 54a = 96a
(54 + 96a + 42a2) = 0

Solving
54 + 96a + 42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + 16a + 7a2) = 0

Factor a trinomial.
6((9 + 7a)(1 + a)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(9 + 7a)' equal to zero and attempt to solve:

Simplifying
9 + 7a = 0

Solving
9 + 7a = 0

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

Add '-9' to each side of the equation.
9 + -9 + 7a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7a = 0 + -9
7a = 0 + -9

Combine like terms: 0 + -9 = -9
7a = -9

Divide each side by '7'.
a = -1.285714286

Simplifying
a = -1.285714286
Subproblem 2
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
Solution
a = {-1.285714286, -1}