(8y+9)(8y-9)=

Solution for (8y+9)(8y-9)= equation:

Simplifying
(8y + 9)(8y + -9) = 0

Reorder the terms:
(9 + 8y)(8y + -9) = 0

Reorder the terms:
(9 + 8y)(-9 + 8y) = 0

Multiply (9 + 8y) * (-9 + 8y)
(9(-9 + 8y) + 8y * (-9 + 8y)) = 0
((-9 * 9 + 8y * 9) + 8y * (-9 + 8y)) = 0
((-81 + 72y) + 8y * (-9 + 8y)) = 0
(-81 + 72y + (-9 * 8y + 8y * 8y)) = 0
(-81 + 72y + (-72y + 64y2)) = 0

Combine like terms: 72y + -72y = 0
(-81 + 0 + 64y2) = 0
(-81 + 64y2) = 0

Solving
-81 + 64y2 = 0

Solving for variable 'y'.

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

Add '81' to each side of the equation.
-81 + 81 + 64y2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 64y2 = 0 + 81
64y2 = 0 + 81

Combine like terms: 0 + 81 = 81
64y2 = 81

Divide each side by '64'.
y2 = 1.265625

Simplifying
y2 = 1.265625

Take the square root of each side:
y = {-1.125, 1.125}