(8a+9)(8a-9)=

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

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

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

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

Multiply (9 + 8a) * (-9 + 8a)
(9(-9 + 8a) + 8a * (-9 + 8a)) = 0
((-9 * 9 + 8a * 9) + 8a * (-9 + 8a)) = 0
((-81 + 72a) + 8a * (-9 + 8a)) = 0
(-81 + 72a + (-9 * 8a + 8a * 8a)) = 0
(-81 + 72a + (-72a + 64a2)) = 0

Combine like terms: 72a + -72a = 0
(-81 + 0 + 64a2) = 0
(-81 + 64a2) = 0

Solving
-81 + 64a2 = 0

Solving for variable 'a'.

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

Add '81' to each side of the equation.
-81 + 81 + 64a2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 64a2 = 0 + 81
64a2 = 0 + 81

Combine like terms: 0 + 81 = 81
64a2 = 81

Divide each side by '64'.
a2 = 1.265625

Simplifying
a2 = 1.265625

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