a(2b+2)+a(5b-6)=

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

Simplifying
a(2b + 2) + a(5b + -6) = 0

Reorder the terms:
a(2 + 2b) + a(5b + -6) = 0
(2 * a + 2b * a) + a(5b + -6) = 0
(2a + 2ab) + a(5b + -6) = 0

Reorder the terms:
2a + 2ab + a(-6 + 5b) = 0
2a + 2ab + (-6 * a + 5b * a) = 0
2a + 2ab + (-6a + 5ab) = 0

Reorder the terms:
2a + -6a + 2ab + 5ab = 0

Combine like terms: 2a + -6a = -4a
-4a + 2ab + 5ab = 0

Combine like terms: 2ab + 5ab = 7ab
-4a + 7ab = 0

Solving
-4a + 7ab = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a'.
a(-4 + 7b) = 0

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 '(-4 + 7b)' equal to zero and attempt to solve:

Simplifying
-4 + 7b = 0

Solving
-4 + 7b = 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 + 7b = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7b = 0 + 4
7b = 0 + 4

Combine like terms: 0 + 4 = 4
7b = 4

Add '-7b' to each side of the equation.
7b + -7b = 4 + -7b

Combine like terms: 7b + -7b = 0
0 = 4 + -7b

Simplifying
0 = 4 + -7b

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}