(3y-8)(3y+8)=0

Solution for (3y-8)(3y+8)=0 equation:

Simplifying
(3y + -8)(3y + 8) = 0

Reorder the terms:
(-8 + 3y)(3y + 8) = 0

Reorder the terms:
(-8 + 3y)(8 + 3y) = 0

Multiply (-8 + 3y) * (8 + 3y)
(-8(8 + 3y) + 3y * (8 + 3y)) = 0
((8 * -8 + 3y * -8) + 3y * (8 + 3y)) = 0
((-64 + -24y) + 3y * (8 + 3y)) = 0
(-64 + -24y + (8 * 3y + 3y * 3y)) = 0
(-64 + -24y + (24y + 9y2)) = 0

Combine like terms: -24y + 24y = 0
(-64 + 0 + 9y2) = 0
(-64 + 9y2) = 0

Solving
-64 + 9y2 = 0

Solving for variable 'y'.

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

Add '64' to each side of the equation.
-64 + 64 + 9y2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 9y2 = 0 + 64
9y2 = 0 + 64

Combine like terms: 0 + 64 = 64
9y2 = 64

Divide each side by '9'.
y2 = 7.111111111

Simplifying
y2 = 7.111111111

Take the square root of each side:
y = {-2.666666667, 2.666666667}