12a^2b+6ab^2-7a^2b=

Solution for 12a^2b+6ab^2-7a^2b= equation:

Simplifying
12a2b + 6ab2 + -7a2b = 0

Reorder the terms:
6ab2 + 12a2b + -7a2b = 0

Combine like terms: 12a2b + -7a2b = 5a2b
6ab2 + 5a2b = 0

Solving
6ab2 + 5a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(6b + 5a) = 0

Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(6b + 5a)' equal to zero and attempt to solve:

Simplifying
6b + 5a = 0

Reorder the terms:
5a + 6b = 0

Solving
5a + 6b = 0

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

Add '-6b' to each side of the equation.
5a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
5a + 0 = 0 + -6b
5a = 0 + -6b
Remove the zero:
5a = -6b

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

Simplifying
a = -1.2b
Solution
a = {-1.2b}