(9x+5)(9x-5)=0

Solution for (9x+5)(9x-5)=0 equation:

Simplifying
(9x + 5)(9x + -5) = 0

Reorder the terms:
(5 + 9x)(9x + -5) = 0

Reorder the terms:
(5 + 9x)(-5 + 9x) = 0

Multiply (5 + 9x) * (-5 + 9x)
(5(-5 + 9x) + 9x * (-5 + 9x)) = 0
((-5 * 5 + 9x * 5) + 9x * (-5 + 9x)) = 0
((-25 + 45x) + 9x * (-5 + 9x)) = 0
(-25 + 45x + (-5 * 9x + 9x * 9x)) = 0
(-25 + 45x + (-45x + 81x2)) = 0

Combine like terms: 45x + -45x = 0
(-25 + 0 + 81x2) = 0
(-25 + 81x2) = 0

Solving
-25 + 81x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 81x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 81x2 = 0 + 25
81x2 = 0 + 25

Combine like terms: 0 + 25 = 25
81x2 = 25

Divide each side by '81'.
x2 = 0.3086419753

Simplifying
x2 = 0.3086419753

Take the square root of each side:
x = {-0.555555556, 0.555555556}