(4c+2g)(4c-2g)=0

Solution for (4c+2g)(4c-2g)=0 equation:

Simplifying
(4c + 2g)(4c + -2g) = 0

Multiply (4c + 2g) * (4c + -2g)
(4c * (4c + -2g) + 2g * (4c + -2g)) = 0
((4c * 4c + -2g * 4c) + 2g * (4c + -2g)) = 0

Reorder the terms:
((-8cg + 16c2) + 2g * (4c + -2g)) = 0
((-8cg + 16c2) + 2g * (4c + -2g)) = 0
(-8cg + 16c2 + (4c * 2g + -2g * 2g)) = 0
(-8cg + 16c2 + (8cg + -4g2)) = 0

Reorder the terms:
(-8cg + 8cg + 16c2 + -4g2) = 0

Combine like terms: -8cg + 8cg = 0
(0 + 16c2 + -4g2) = 0
(16c2 + -4g2) = 0

Solving
16c2 + -4g2 = 0

Solving for variable 'c'.

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

Add '4g2' to each side of the equation.
16c2 + -4g2 + 4g2 = 0 + 4g2

Combine like terms: -4g2 + 4g2 = 0
16c2 + 0 = 0 + 4g2
16c2 = 0 + 4g2
Remove the zero:
16c2 = 4g2

Divide each side by '16'.
c2 = 0.25g2

Simplifying
c2 = 0.25g2

Take the square root of each side:
c = {-0.5g, 0.5g}