(8x+9)(8x-9)=0

Solution for (8x+9)(8x-9)=0 equation:

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

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

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

Multiply (9 + 8x) * (-9 + 8x)
(9(-9 + 8x) + 8x * (-9 + 8x)) = 0
((-9 * 9 + 8x * 9) + 8x * (-9 + 8x)) = 0
((-81 + 72x) + 8x * (-9 + 8x)) = 0
(-81 + 72x + (-9 * 8x + 8x * 8x)) = 0
(-81 + 72x + (-72x + 64x2)) = 0

Combine like terms: 72x + -72x = 0
(-81 + 0 + 64x2) = 0
(-81 + 64x2) = 0

Solving
-81 + 64x2 = 0

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 64x2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 64x2 = 0 + 81
64x2 = 0 + 81

Combine like terms: 0 + 81 = 81
64x2 = 81

Divide each side by '64'.
x2 = 1.265625

Simplifying
x2 = 1.265625

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