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

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

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

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

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

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

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

Solving
-64 + 81x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '81'.
x2 = 0.7901234568

Simplifying
x2 = 0.7901234568

Take the square root of each side:
x = {-0.888888889, 0.888888889}