(-4a+2b)(2b+4a)=

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

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

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

Multiply (-4a + 2b) * (4a + 2b)
(-4a * (4a + 2b) + 2b * (4a + 2b)) = 0
((4a * -4a + 2b * -4a) + 2b * (4a + 2b)) = 0

Reorder the terms:
((-8ab + -16a2) + 2b * (4a + 2b)) = 0
((-8ab + -16a2) + 2b * (4a + 2b)) = 0
(-8ab + -16a2 + (4a * 2b + 2b * 2b)) = 0
(-8ab + -16a2 + (8ab + 4b2)) = 0

Reorder the terms:
(-8ab + 8ab + -16a2 + 4b2) = 0

Combine like terms: -8ab + 8ab = 0
(0 + -16a2 + 4b2) = 0
(-16a2 + 4b2) = 0

Solving
-16a2 + 4b2 = 0

Solving for variable 'a'.

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

Add '-4b2' to each side of the equation.
-16a2 + 4b2 + -4b2 = 0 + -4b2

Combine like terms: 4b2 + -4b2 = 0
-16a2 + 0 = 0 + -4b2
-16a2 = 0 + -4b2
Remove the zero:
-16a2 = -4b2

Divide each side by '-16'.
a2 = 0.25b2

Simplifying
a2 = 0.25b2

Take the square root of each side:
a = {-0.5b, 0.5b}