(3y-4)(3y+4)=0

Solution for (3y-4)(3y+4)=0 equation:

Simplifying
(3y + -4)(3y + 4) = 0

Reorder the terms:
(-4 + 3y)(3y + 4) = 0

Reorder the terms:
(-4 + 3y)(4 + 3y) = 0

Multiply (-4 + 3y) * (4 + 3y)
(-4(4 + 3y) + 3y * (4 + 3y)) = 0
((4 * -4 + 3y * -4) + 3y * (4 + 3y)) = 0
((-16 + -12y) + 3y * (4 + 3y)) = 0
(-16 + -12y + (4 * 3y + 3y * 3y)) = 0
(-16 + -12y + (12y + 9y2)) = 0

Combine like terms: -12y + 12y = 0
(-16 + 0 + 9y2) = 0
(-16 + 9y2) = 0

Solving
-16 + 9y2 = 0

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 9y2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9y2 = 0 + 16
9y2 = 0 + 16

Combine like terms: 0 + 16 = 16
9y2 = 16

Divide each side by '9'.
y2 = 1.777777778

Simplifying
y2 = 1.777777778

Take the square root of each side:
y = {-1.333333333, 1.333333333}