7a^2b+24ab-16b=

Solution for 7a^2b+24ab-16b= equation:

Simplifying
7a2b + 24ab + -16b = 0

Reorder the terms:
24ab + 7a2b + -16b = 0

Solving
24ab + 7a2b + -16b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(24a + 7a2 + -16) = 0

Factor a trinomial.
b((7a + -4)(a + 4)) = 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 '(7a + -4)' equal to zero and attempt to solve:

Simplifying
7a + -4 = 0

Reorder the terms:
-4 + 7a = 0

Solving
-4 + 7a = 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 + 7a = 0 + 4

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

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

Divide each side by '7'.
a = 0.5714285714

Simplifying
a = 0.5714285714
Subproblem 3
Set the factor '(a + 4)' equal to zero and attempt to solve:

Simplifying
a + 4 = 0

Reorder the terms:
4 + a = 0

Solving
4 + a = 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 + a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + a = 0 + -4
a = 0 + -4

Combine like terms: 0 + -4 = -4
a = -4

Simplifying
a = -4
Solution
a = {0.5714285714, -4}