7a(4ab+8)=

Solution for 7a(4ab+8)= equation:

Simplifying
7a(4ab + 8) = 0

Reorder the terms:
7a(8 + 4ab) = 0
(8 * 7a + 4ab * 7a) = 0
(56a + 28a2b) = 0

Solving
56a + 28a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '28a'.
28a(2 + ab) = 0

Ignore the factor 28.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(2 + ab)' equal to zero and attempt to solve:

Simplifying
2 + ab = 0

Solving
2 + ab = 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 + ab = 0 + -2

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

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

Divide each side by 'b'.
a = -2b-1

Simplifying
a = -2b-1
Solution
a = {0, -2b-1}