2ab(4a-7b)=

Solution for 2ab(4a-7b)= equation:

Simplifying
2ab(4a + -7b) = 0
(4a * 2ab + -7b * 2ab) = 0

Reorder the terms:
(-14ab2 + 8a2b) = 0
(-14ab2 + 8a2b) = 0

Solving
-14ab2 + 8a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2ab'.
2ab(-7b + 4a) = 0

Ignore the factor 2.
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}