(9x-10)(9x+10)=0

Solution for (9x-10)(9x+10)=0 equation:

Simplifying
(9x + -10)(9x + 10) = 0

Reorder the terms:
(-10 + 9x)(9x + 10) = 0

Reorder the terms:
(-10 + 9x)(10 + 9x) = 0

Multiply (-10 + 9x) * (10 + 9x)
(-10(10 + 9x) + 9x * (10 + 9x)) = 0
((10 * -10 + 9x * -10) + 9x * (10 + 9x)) = 0
((-100 + -90x) + 9x * (10 + 9x)) = 0
(-100 + -90x + (10 * 9x + 9x * 9x)) = 0
(-100 + -90x + (90x + 81x2)) = 0

Combine like terms: -90x + 90x = 0
(-100 + 0 + 81x2) = 0
(-100 + 81x2) = 0

Solving
-100 + 81x2 = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 100 + 81x2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 81x2 = 0 + 100
81x2 = 0 + 100

Combine like terms: 0 + 100 = 100
81x2 = 100

Divide each side by '81'.
x2 = 1.234567901

Simplifying
x2 = 1.234567901

Take the square root of each side:
x = {-1.111111111, 1.111111111}