4a(7b-2a)=

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

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

Reorder the terms:
4a(-2a + 7b) = 0
(-2a * 4a + 7b * 4a) = 0

Reorder the terms:
(28ab + -8a2) = 0
(28ab + -8a2) = 0

Solving
28ab + -8a2 = 0

Solving for variable 'a'.

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

Ignore the factor 4.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(7b + -2a)' equal to zero and attempt to solve:

Simplifying
7b + -2a = 0

Reorder the terms:
-2a + 7b = 0

Solving
-2a + 7b = 0

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

Add '-7b' to each side of the equation.
-2a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
-2a + 0 = 0 + -7b
-2a = 0 + -7b
Remove the zero:
-2a = -7b

Divide each side by '-2'.
a = 3.5b

Simplifying
a = 3.5b
Solution
a = {0, 3.5b}