(8g+4h)(8g-4h)=0

Solution for (8g+4h)(8g-4h)=0 equation:

Simplifying
(8g + 4h)(8g + -4h) = 0

Multiply (8g + 4h) * (8g + -4h)
(8g * (8g + -4h) + 4h * (8g + -4h)) = 0
((8g * 8g + -4h * 8g) + 4h * (8g + -4h)) = 0

Reorder the terms:
((-32gh + 64g2) + 4h * (8g + -4h)) = 0
((-32gh + 64g2) + 4h * (8g + -4h)) = 0
(-32gh + 64g2 + (8g * 4h + -4h * 4h)) = 0
(-32gh + 64g2 + (32gh + -16h2)) = 0

Reorder the terms:
(-32gh + 32gh + 64g2 + -16h2) = 0

Combine like terms: -32gh + 32gh = 0
(0 + 64g2 + -16h2) = 0
(64g2 + -16h2) = 0

Solving
64g2 + -16h2 = 0

Solving for variable 'g'.

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

Add '16h2' to each side of the equation.
64g2 + -16h2 + 16h2 = 0 + 16h2

Combine like terms: -16h2 + 16h2 = 0
64g2 + 0 = 0 + 16h2
64g2 = 0 + 16h2
Remove the zero:
64g2 = 16h2

Divide each side by '64'.
g2 = 0.25h2

Simplifying
g2 = 0.25h2

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