(4y-5)(4y+5)=

Solution for (4y-5)(4y+5)= equation:

Simplifying
(4y + -5)(4y + 5) = 0

Reorder the terms:
(-5 + 4y)(4y + 5) = 0

Reorder the terms:
(-5 + 4y)(5 + 4y) = 0

Multiply (-5 + 4y) * (5 + 4y)
(-5(5 + 4y) + 4y * (5 + 4y)) = 0
((5 * -5 + 4y * -5) + 4y * (5 + 4y)) = 0
((-25 + -20y) + 4y * (5 + 4y)) = 0
(-25 + -20y + (5 * 4y + 4y * 4y)) = 0
(-25 + -20y + (20y + 16y2)) = 0

Combine like terms: -20y + 20y = 0
(-25 + 0 + 16y2) = 0
(-25 + 16y2) = 0

Solving
-25 + 16y2 = 0

Solving for variable 'y'.

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

Add '25' to each side of the equation.
-25 + 25 + 16y2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 16y2 = 0 + 25
16y2 = 0 + 25

Combine like terms: 0 + 25 = 25
16y2 = 25

Divide each side by '16'.
y2 = 1.5625

Simplifying
y2 = 1.5625

Take the square root of each side:
y = {-1.25, 1.25}