3a^2b+4ab-7b=

Solution for 3a^2b+4ab-7b= equation:

Simplifying
3a2b + 4ab + -7b = 0

Reorder the terms:
4ab + 3a2b + -7b = 0

Solving
4ab + 3a2b + -7b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(4a + 3a2 + -7) = 0

Factor a trinomial.
b((a + -1)(3a + 7)) = 0

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

Simplifying
b = 0

Solving
b = 0

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

Add '-1b' to each side of the equation.
b + -1b = 0 + -1b
Remove the zero:
0 = -1b

Simplifying
0 = -1b

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 '(a + -1)' equal to zero and attempt to solve:

Simplifying
a + -1 = 0

Reorder the terms:
-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
Subproblem 3
Set the factor '(3a + 7)' equal to zero and attempt to solve:

Simplifying
3a + 7 = 0

Reorder the terms:
7 + 3a = 0

Solving
7 + 3a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333
Solution
a = {1, -2.333333333}