4a^2b+7ab^2=

Solution for 4a^2b+7ab^2= equation:

Simplifying
4a2b + 7ab2 = 0

Reorder the terms:
7ab2 + 4a2b = 0

Solving
7ab2 + 4a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ab'.
ab(7b + 4a) = 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 '(7b + 4a)' equal to zero and attempt to solve:

Simplifying
7b + 4a = 0

Reorder the terms:
4a + 7b = 0

Solving
4a + 7b = 0

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

Add '-7b' to each side of the equation.
4a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
4a + 0 = 0 + -7b
4a = 0 + -7b
Remove the zero:
4a = -7b

Divide each side by '4'.
a = -1.75b

Simplifying
a = -1.75b
Solution
a = {-1.75b}