(9x-4)(9x+4)=10

Solution for (9x-4)(9x+4)=10 equation:

Simplifying
(9x + -4)(9x + 4) = 10

Reorder the terms:
(-4 + 9x)(9x + 4) = 10

Reorder the terms:
(-4 + 9x)(4 + 9x) = 10

Multiply (-4 + 9x) * (4 + 9x)
(-4(4 + 9x) + 9x * (4 + 9x)) = 10
((4 * -4 + 9x * -4) + 9x * (4 + 9x)) = 10
((-16 + -36x) + 9x * (4 + 9x)) = 10
(-16 + -36x + (4 * 9x + 9x * 9x)) = 10
(-16 + -36x + (36x + 81x2)) = 10

Combine like terms: -36x + 36x = 0
(-16 + 0 + 81x2) = 10
(-16 + 81x2) = 10

Solving
-16 + 81x2 = 10

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 81x2 = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 81x2 = 10 + 16
81x2 = 10 + 16

Combine like terms: 10 + 16 = 26
81x2 = 26

Divide each side by '81'.
x2 = 0.3209876543

Simplifying
x2 = 0.3209876543

Take the square root of each side:
x = {-0.566557724, 0.566557724}