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

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

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

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

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

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

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

Solving
-9 + 16y2 = 0

Solving for variable 'y'.

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

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

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

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

Divide each side by '16'.
y2 = 0.5625

Simplifying
y2 = 0.5625

Take the square root of each side:
y = {-0.75, 0.75}