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

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

Simplifying
(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}